notes.bib

% notes.bib,  version 12/06/09

@phdthesis{alpthesis,
author             = "M.~Alp",
title              = "GAP, crossed modules, cat1-groups:
                      applications of computational group theory",
type               = "Ph.{D}.~thesis",  
year               = "1997",
school             = "University of Wales, Bangor",
}

@article{alp:wens-ijac,
author             = "M.~Alp and C.~D.~Wensley",
title              = "Enumeration of cat1-groups of low order",
journal            = "Int. J. Algebra and Computation", 
volume             = "10",
pages              = "407--424", 
year               = "2000",
}

@article{alp:wens-apcs,
author             = "M.~Alp and C.~D.~Wensley",
title              = "Automorphisms and homotopies of groupoids 
                      and crossed modules",
journal            = "Appl. Categot. Struct.", 
note               = "(to appear)", 
url                = "http://dx.doi.org/10.1007/s10485-008-9183-y", 
%% volume             = "",
%% pages              = "", 
%% year               = "",
}

@article{arv:oda, 
author             = "Z Arvasi and A.~Odabas",
title              = "Computing $2$-dimensional algebras:  
                      Crosses modules and Cat$^1$-algebras",
journal            = "J. Alg. Appl.", 
volume             = "15",   
year               = "2016",   
pages              = "1-12",
} 

@article{arv:port, 
author             = "Z Arvasi and T.~Porter",
title              = "Simplicial and crossed resolutions of 
                      commutative algebras",
journal            = "J. Algebra", 
volume             = "181",   
year               = "1996",   
pages              = "426--448",
} 

@inproceedings{brow1,
author             = "R.~Brown",
title              = "Higher-dimensional group theory",
booktitle          = "Low-dimensional topology", 
series             = "London Math. Soc. Lecture Note Series", 
volume             = "48",
editor             = " R.~Brown and T.~L.~Thickstun",
publisher          = "Cambridge University Press", 
year               = "1982", 
pages              = "215--238",
}

@article{brow2,
author             = "R.~Brown",
title              = "From groups to groupoids: a brief survey",
journal            = "Bull. London Math. Soc.",
volume             = "19",
year               = "1987",
pages              = "113--134",
}

@book{brow:top:gpds,
    AUTHOR = "Brown, Ronald",
     TITLE = "Topology and groupoids",
      NOTE = "Third edition of {\it Elements of modern topology}
              [McGraw-Hill, New York, 1968; MR0227979],
              With 1 CD-ROM (Windows, Macintosh and UNIX)",
 PUBLISHER = "BookSurge, LLC, Charleston, SC",
      YEAR = "2006",
     PAGES = "xxvi+512",
      ISBN = "1-4196-2722-8",
   MRCLASS = "54-02 (55-02 55P65)",
  MRNUMBER = "MR2273730",
}

@article{brow:gilb, 
author             = "R.~Brown and N.~D.~Gilbert",
title              = "Algebraic models of 3-types and automorphism
                      structures for crossed modules",
journal            = "Proc. London Math. Soc. (3)" ,
volume             = "59", 
year               = "1989", 
pages              = "51--73",
}

@article{brow:higg:1978,
author             = "R.~Brown and P.~J.~Higgins",
title              = "On the connection between the second relative 
                      homotopy group and some related spaces",
journal            = "Proc. London Math. Soc.", 
volume             = "36",
pages              = "193--212", 
year               = "1978",
}

@article{brow:higg:1981,
author             = "R.~Brown and P.~J.~Higgins",
title              = "On the algebra of cubes",
journal            = "J. Pure Appl. Algebra", 
volume             = "21",
pages              = "233--260", 
year               = "1981",
}

@article{brow:higg:1987,
author             = "R.~Brown and P.~J.~Higgins",
title              = "Tensor products and homotopies for $\omega$-groupoids 
                      and crossed complexes",
journal            = "J. Pure Appl. Algebra", 
volume             = "47",
pages              = "1--33", 
year               = "1987",
}

@article{brow:higg:1989,
author             = "R.~Brown and P.~J.~Higgins",
title              = "Algebraic models of $3$-types and automorphism 
                      structures for crossed modules",
journal            = "Proc. London Math. Soc. (3)", 
volume             = "59",
pages              = "51--73", 
year               = "1989",
}

@article{brow:higg:1990,
author             = "R.~Brown and P.~J.~Higgins",
title              = "Crossed complexes and chain complexes with operators",
journal            = "Math. Proc. Camb. Phil. Soc.", 
volume             = "107",
pages              = "33--57", 
year               = "1990",
}

@article{brow:higg:1991,
author             = "R.~Brown and P.~J.~Higgins",
title              = "The classifying space of a crossd complex",
journal            = "Math. Proc. Camb. Phil. Soc.", 
volume             = "110",
pages              = "95--120", 
year               = "1991",
}

@inproceedings{brow:hueb, 
author             = "R.~Brown and J.~Huebschmann",
title              = "Identities among relations",
booktitle          = "Low-dimensional topology", 
series             = "London Math. Soc. Lecture Note Series",
volume             = "48",
editor             = "R.~Brown and T.~L.~Thickstun", 
publisher          = "Cambridge University Press", 
year               = "1982",   
pages              = "153--202",
}

@article{brow:jo:ro, 
author             = "R.~Brown and D.~L.~Johnson and E.~F.~Robertson",
title              = "Some computations of non-abelian tensor products 
                      of groups",
journal            = "J.~Algebra",
volume             = "111",
year               = "1987",   
pages              = "177--202",
}

@article{brow:icen, 
author             = "R.~Brown and  \.{I}.~\.{I}\c{c}en",
title              = "Homotopies and automorphisms of crossed modules 
                      of groupoids",
journal            = "Applied Categorical Structures",
volume             = "11",   
year               = "2003",   
pages              = "185--206",
}

@article{brow:lod, 
author             = "R.~Brown and  J.-L.~Loday",
title              = "Van Kampen theorems for diagram of spaces",
journal            = "Topology",
volume             = "26",   
year               = "1987",   
pages              = "311--335",
}

@book{brow:siv,
author             = "R.~Brown and  R.~Sivera",
title              = "Nonabelian algebraic topology",    
year               = "2004",   
note               = "A draft of Part 1 is available", 
url                = "http://www.bangor.ac.uk/~mas010/nonab-a-t.html",
}

@article{brow:spen, 
author             = "R.~Brown and  C.~Spencer", 
title              = "$\calG$-groupoids, crossed modules and the fundamental 
                      groupoid of a topological group", 
journal            = "Nede. Akad. Wetensch. Proc.",
volume             = "79",   
year               = "1976",   
pages              = "296--302",
}

@article{brow:cdw3,
author             = "R.~Brown and C.~D.~Wensley",
title              = "On finite induced crossed modules, 
                      and the homotopy $2$-type of mapping cones",
journal            = "Theory and Applications of Categories",
volume             = "1",
pages              = "54--71", 
year               = "1995",
}

@article{brow:cdw4,
author             = "R.~Brown and C.~D.~Wensley",
title              = "Computing crossed modules induced by an 
                      inclusion of a normal subgroup, 
                      with applications to homotopy $2$-types",
journal            = "Theory and Applications of Categories",
volume             = "2",
pages              = "3--16", 
year               = "1996",
}

@article{brow:cdw5, 
author             = "R.~Brown and C.~D.~Wensley",
title              = "Computation and homotopical applications 
                      of induced crossed modules", 
journal            = "J. Symbolic Computation",
volume             = "35",
year               = "2003", 
pages              = "59--72",
} 

@article{cock, 
author             = "W.~H.~Cockroft", 
title              = "On two-dimensional aspherical complexes", 
journal            = "Proc. London Math. Soc. (3)", 
volume             = "4",   
year               = "1954",   
pages              = "375--384",
}

@article{casas:ladra, 
author             = "J.~M.~Casas and M.~Ladra",
title              = "Colimits in the crossed modules category in Lie algebras",
journal            = "Georgian Math. J.", 
volume             = "7",   
year               = "2000",   
pages              = "461--474",
}

@article{conduche:jpaa, 
author             = "D Conduch\'e",
title              = "Modules crois\'es g\'en\'eralis\'es de longeur $2$",
journal            = "J Pure Appl. Algebra", 
volume             = "34",   
year               = "1984",   
pages              = "155--178",
}

@article{conduche:gmj, 
author             = "D Conduch\'e",
title              = "Simplicial crossed modules and mapping cones",
journal            = "Georgian Math J", 
volume             = "10",   
year               = "2003",   
pages              = "623--636",
}

@phdthesis{ehlers,
author             = "P.~J.~Ehlers",
title              = "Algebraic homotopy in simplicially enriched groupoids",
type               = "Ph.{D}.~thesis", 
school             = "University of Wales, Bangor", 
year               = "1993",
}

@phdthesis{ellis-thesis,
author             = "G.~Ellis",
title              = "Crossed modules and their higher dimensional analogues",
type               = "Ph.{D}.~thesis", 
school             = "University of Wales, Bangor", 
year               = "1984",
}

@article {ellis-jsc2004,
    AUTHOR = {Ellis, Graham},
     TITLE = {Computing group resolutions},
   JOURNAL = {J. Symbolic Comput.},
  FJOURNAL = {Journal of Symbolic Computation},
    VOLUME = {38},
      YEAR = {2004},
    NUMBER = {3},
     PAGES = {1077--1118},
      ISSN = {0747-7171},
   MRCLASS = {20J06 (57M07)},
  MRNUMBER = {MR2093885 (2006b:20076)},
MRREVIEWER = {Stephen J. Pride},
}

@article{ell:st, 
author             = "G.~Ellis and R.~Steiner", 
title              = "Higher dimensional crossed modules 
                      and the homotopy groups of (n+1)-ads.", 
journal            = "J. Pure and Appl. Algebra",
volume             = "46",   
year               = "1987",   
pages              = "117--136",
}

@phdthesis{f-b-thesis,
author             = "M.~Forrester-Barker",
title              = "Representations of crossed modules and cat$^1$-groups",
type               = "Ph.{D}.~thesis",  
year               = "2004",
school             = "University of Wales, Bangor",
}

@manual{GAP4,
key                = "GAP",
organization       = "The GAP~Group",
title              = "{GAP -- Groups, Algorithms, Programming, Version 4.4}",
year               = "2004",
url                = "http://www.gap-system.org",
keywords           = "groups; *; gap; manual",
}

@article{gilb1,
author             = "N.~D.~Gilbert",
title              = "Derivations, automorphisms and crossed modules",
journal            = "Comm. in Algebra",
volume             = "18",
pages              = "2703--2734", 
year               = "1990",
}

@article{golfand,  
author             = "Y.~A.~Gol'fand",
title              = "On the automorphism group of the holomorph of a group",
journal            = "Math. Sbornik.", 
volume             = "27",   
year               = "1950",   
pages              = "333--350",
}

@book{higgins-gpds,
author             = "P.~J.~Higgins",
title              = "Categories and Groupoids",    
note               = "Originally published by:Van Nostrand Reinhold, 1971",
year               = "2005",
series             = "Reprints in Theory and Applications of Categories", 
volume             = "7", 
pages              = "1--195",   
}

@article{hsu1,
author             = "N.~C.~Hsu",
title              = "The groups of automorphisms of the holomorph of a group",
journal            = "Pacific. J. Math.", 
volume             = "11",   
year               = "1961",   
pages              = "999--1012",
}

@article{hsu2, 
author             = "N.~C.~Hsu",
title              = "The holomorphs of free abelian  groups of finite rank",
journal            = "Amer.~Math.~Monthly", 
volume             = "72",   
year               = "1965",   
pages              = "754--756",
}

@article{kamps:port, 
author             = "K.~H.~Kamps and T.~Porter",
title              = "2-groupoid enrichments in homotopy theory and algebra",
journal            = "K-Theory", 
volume             = "25",   
year               = "2002",   
pages              = "373-409",
} 

@article{loday1,
author             = "J.~L.~Loday",
title              = "Spaces with finitely many non-trivial homotopy groups",
journal            = "J. App. Algebra", 
volume             = "24",
pages              = "179--202", 
year               = "1982",
}

@inproceedings{walery:loday, 
author             = "D.~Guin-Wal\'ery and J.-L.~Loday",
title              = "Obstructions \`a l'excision en 
                      K-th\'eorie alg\'ebraique",
series             = "Springer Lecture Notes in Math.", 
volume             = "854",   
year               = "1981",   
pages              = "179-216",
}

@article{lue1,  
author             = "A S-T Lue",
title              = "Semi-complete crossed modules and holomorphs of groups",
journal            = "Bull. London Math. Soc.", 
volume             = "11",   
year               = "1979",   
pages              = "8--16",
}

@article{lue2, 
author             = "A.~S.~T.~Lue",
title              = "The centre of the outer automorphism group of a 
                      free group", 
journal            = "Bull. London. Math. Soc.", 
volume             = "11",   
year               = "1979",   
pages              = "6--7",
}

 %%% was {BES} 
@article{mills, 
author             = "W.~H.~Mills",  
title              = "The automorphisms of the holomorph of a 
                      finite abelian group",
journal            = "Trans. Amer. Math. Soc.", 
volume             = "85",   
year               = "1957",   
pages              = "1--34",
}

@phdthesis{M1,
author             = "E.~J.~Moore",
title              = "Graphs of Groups:
                      Word Computations and Free Crossed Resolutions",
type               = "Ph.{D}.~thesis", 
school             = "University of Wales, Bangor", 
year               = "2001",
}

@article{mutlu:porter5,  
author             = "A.~Mutlu and T.~Porter",
title              = "Crossed squares and $2$-crossed modules",
series             = "Bangor Mathematics Preprint", 
volume             = "02.03",
year               = "2002",
}

@article{nor1,
author             = "K.~J.~Norrie",
title              = "Actions and automorphisms of crossed modules",
journal            = "Bull. Soc. Math. France", 
volume             = "118",
pages              = "129--146", 
year               = "1990",
}

@phdthesis{norrie-thesis,
author             = "K.~J.~Norrie",
title              = "Crossed modules and analogues of group theorems",
type               = "Ph.{D}.~thesis", 
school             = "King's College, University of London", 
year               = "1987",
}

@book{plotkin, 
author             = "L.~Plotkin",
title              = "Groups of automorphisms of algebraic systems", 
publisher          = "Wolters-Noordhoff, Groningen",   
year               = "1972",   
}

@article{porter:top, 
author             = "T.~Porter",
title              = "$n$-types of simplicial groups and crossed $n$-cubes",
journal            = "Topology", 
volume             = "32",   
year               = "1993",   
pages              = "5--24",
}

@article{premans, 
author             = "W.~Premans",
title              = "Completeness of holomorphs",
journal            = "Indag. Math.", 
volume             = "19",   
year               = "1957",   
pages              = "608--619",
}

@article{GAP,  
author             = "M.~Sch{\accent127 o}nert et al",  
title              = "GAP--Groups, Algorithms, and Programming",  
address            = "Lehrstuhl D f{\accent127 u}r Mathematik, 
                  Rheinisch Westf{\accent127 a}lische Technische Hoch\-schule, 
                  Aachen, Germany", 
edition            = "fifth", 
year               = "1995",
} 

@article{W-41, 
author             = "J.~H.~C.~Whitehead",
title              = "On adding relations to homotopy groups",
journal            = "Annals of Math.",
volume             = "41",   
year               = "1941",   
pages              = "806--810",
}

@article{W-46, 
author             = "J.~H.~C.~Whitehead",
title              = "Note on a previous paper entitled
                      ``On adding relations to homotopy groups''",
journal            = "Annals of Math.",
volume             = "47",   
year               = "1946",   
pages              = "806--810",
}

@article{W-48b,
author             = "J.~H.~C.~Whitehead",
title              = "On operators in relative homotopy groups",
journal            = "Ann. of Math.", 
volume             = "49",
pages              = "610--640", 
year               = "1948",
}

@article{W-49a,
author             = "J.~H.~C.~Whitehead",
title              = "Combinatorial homotopy {I}{I}",
journal            = "Bull. Amer. Math. Soc.", 
volume             = "55",
pages              = "453--496", 
year               = "1949",
}