@manual{ AutoDoc,
author = {Gutsche, S. and Horn, M.},
title = {{AutoDoc \texttt{ \symbol{ 45}} Generate documentation
from GAP source code (Version 2017. 09. 15)}},
year = { 2017},
note = {GAP package, \href
{ https://github.com/gap-packages/AutoDoc}
{ \texttt{ https://github.com/}\discretionary
{}{}{} \texttt{gap \texttt{ \symbol{ 45}}packages/} \discretionary
{}{}{} \texttt{AutoDoc}}},
printedkey = {GH17}
}
@manual{ GAPDoc,
author = {L{ \"u}beck, F. and Neunh{ \"o}ffer, M.},
title = {{GAPDoc (version 1. 6)}},
organization = {RWTH Aachen},
year = { 2017},
note = {GAP package, \href
{ https://www.math.rwth-aachen.de/~Frank.Luebeck/GAPDoc/index.html}
{ \texttt{ https://www.math.rwth\texttt{ \symbol{ 45}}aachen.de/} \discretionary
{}{}{} \texttt{ \texttt{ \symbol{ 126}}Frank.Luebeck/} \discretionary
{}{}{} \texttt{GAPDoc/} \discretionary
{}{}{} \texttt{index.html}}},
printedkey = {LN17}
}
@manual{ GitHubPagesForGAP,
author = {Horn, M.},
title = {{GitHubPagesForGAP \texttt{ \symbol{ 45}} Template for
easily using GitHub Pages within GAP packages (Version
0. 2)}},
year = { 2017},
note = {GAP package, \href
{ https://gap-system.github.io/GitHubPagesForGAP/}
{ \texttt{ https://gap\texttt{ \symbol{ 45}}system.github.io/} \discretionary
{}{}{} \texttt{GitHubPagesForGAP/}}},
printedkey = {Hor17}
}
@phdthesis{ A1,
author = {Alp, M.},
title = {GAP, crossed modules, cat1 \texttt{ \symbol{ 45}}groups:
applications of computational group theory},
school = {University of Wales, Bangor},
year = { 1997},
printedkey = {Alp97}
}
@ article{ AW1,
author = {Alp, M. and Wensley, C. D.},
title = {Enumeration of cat1 \texttt{ \symbol{ 45}}groups of low
order},
journal = {Int. J. Algebra and Computation},
volume = { 10},
year = { 2000},
pages = { 407\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 424},
printedkey = {AW00}
}
@ article{ AW2,
author = {Alp, M. and Wensley, C. D.},
title = {Automorphisms and homotopies of groupoids and crossed
modules},
journal = {Applied Categorical Structures},
volume = { 18},
year = { 2010},
pages = { 473\texttt{ \symbol{ 45}} 495},
printedkey = {AW10}
}
@ article{ AOW,
author = {Arvasi, Z. and Odabas, A. and Wensley, C. D.},
title = {Computing 3\texttt{ \symbol{ 45}}Dimensional Groups :
Crossed Squares and Cat2 \texttt{ \symbol{ 45}}groups},
journal = {J. Symbolic Computation},
volume = { 114},
year = { 2023},
pages = { 267\texttt{ \symbol{ 45}} 281},
printedkey = {AOW23}
}
@inproceedings{ B82,
author = {Brown, R.},
editor = {Brown, R. and Thickstun, T. L.},
booktitle = {Low \texttt{ \symbol{ 45}}dimensional topology},
title = {Higher \texttt{ \symbol{ 45}}dimensional group theory},
publisher = {Cambridge University Press},
series = {London Math. Soc. Lecture Note Series},
volume = { 48},
year = { 1982},
pages = { 215\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 238},
printedkey = {Bro82}
}
@ article{ B18,
author = {Brown, R.},
title = {Crossed modules, and the homotopy
2\texttt{ \symbol{ 45}}type of a free loop space},
journal = {arXiv: 1003. 5617 [math.AT]},
year = { 2018},
pages = { 1\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 11},
printedkey = {Bro18}
}
@ article{ BH1,
author = {Brown, R. and Higgins, P. J.},
title = {On the connection between the second relative homotopy
group and some related spaces},
journal = {Proc. London Math. Soc.},
volume = { 36},
year = { 1978},
pages = { 193\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 212},
printedkey = {BH78}
}
@ book{ brow:hig:siv,
author = {Brown, R. and Higgins, P. J. and Sivera, R.},
title = {Nonabelian algrebraic topology},
publisher = {European Mathematical Society},
series = {Tracts in Mathematics},
volume = { 15},
year = { 2011},
printedkey = {BHS11}
}
@ article{ brow:lod,
author = {Brown, R. and Loday, J. \texttt{ \symbol{ 45}}L.},
title = {Van {K}ampen theorems for diagram of spaces},
journal = {Topology},
volume = { 26},
year = { 1987},
pages = { 311\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 335},
printedkey = {BL87}
}
@ article{ BW1,
author = {Brown, R. and Wensley, C. D.},
title = {On finite induced crossed modules, and the homotopy
$ 2$ \texttt{ \symbol{ 45}}type of mapping cones},
journal = {Theory and Applications of Categories},
volume = { 1},
year = { 1995},
pages = { 54\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 71},
printedkey = {BW95}
}
@ article{ BW2,
author = {Brown, R. and Wensley, C. D.},
title = {Computing crossed modules induced by an inclusion of a
normal subgroup, with applications to homotopy
$ 2$ \texttt{ \symbol{ 45}}types},
journal = {Theory and Applications of Categories},
volume = { 2},
year = { 1996},
pages = { 3\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 16},
printedkey = {BW96}
}
@ article{ BW3,
author = {Brown, R. and Wensley, C. D.},
title = {Computation and homotopical applications of induced
crossed modules},
journal = {J. Symbolic Computation},
volume = { 35},
year = { 2003},
pages = { 59\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 72},
printedkey = {BW03}
}
@phdthesis{ E1,
author = {Ellis, G.},
title = {Crossed modules and their higher dimensional analogues},
school = {University of Wales, Bangor},
year = { 1984},
printedkey = {Ell84}
}
@ article{ ell:st,
author = {Ellis, G. and Steiner, R.},
title = {Higher dimensional crossed modules and the homotopy
groups of (n+ 1) \texttt{ \symbol{ 45}}ads.},
journal = {J. Pure and Appl. Algebra},
volume = { 46},
year = { 1987},
pages = { 117\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 136},
printedkey = {ES87}
}
@ article{ EL,
author = {Ellis, G. J. and Le, V. L.},
title = {Homotopy 2\texttt{ \symbol{ 45}}types of low order},
journal = {Experimental Math.},
volume = { 23},
year = { 2014},
pages = { 383\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 389},
printedkey = {EL14}
}
@ article{ G1,
author = {Gilbert, N. D.},
title = {Derivations, automorphisms and crossed modules},
journal = {Comm. in Algebra},
volume = { 18},
year = { 1990},
pages = { 2703\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 2734},
printedkey = {Gil90}
}
@ article{ IOU1,
author = {Ilgaz, E. and Odabas, A. and Uslu, E. O.},
title = {Isoclinism of crossed modules},
journal = {J. Symb. Comput.},
volume = {},
year = { 2016},
pages = { 1\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 17},
note = { https://doi.org/10. 1016/j.jsc. 2015. 08. 006},
printedkey = {IOU16}
}
@ article{ JNO,
author = {James, R. and Newman, M. F. and O 'Brien, E. A.},
title = {The groups of order 128},
journal = {J. Algebra},
volume = { 129},
year = { 1990},
pages = { 136\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 158},
printedkey = {JNO90}
}
@ article{ L1,
author = {Loday, J. \texttt{ \symbol{ 45}}L.},
title = {Spaces with finitely many
non \texttt{ \symbol{ 45}}trivial homotopy groups},
journal = {J. App. Algebra},
volume = { 24},
year = { 1982},
pages = { 179\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 202},
printedkey = {Lod82}
}
@ article{ MW,
author = {Mac Lane, S. and Whitehead, J. H. C.},
title = {On the 3\texttt{ \symbol{ 45}}type of a complex},
journal = {Proc. Nat. Acad. Sci. U.S.A.},
volume = { 37},
year = { 1950},
pages = { 41\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 48},
printedkey = {LW50}
}
@phdthesis{ M1,
author = {Moore, E. J.},
title = {Graphs of Groups: Word Computations and Free Crossed
Resolutions},
school = {University of Wales, Bangor},
year = { 2001},
printedkey = {Moo01}
}
@phdthesis{ N2,
author = {Norrie, K. J.},
title = {Crossed modules and analogues of group theorems},
school = {King 's College, University of London},
year = { 1987},
printedkey = {Nor87}
}
@ article{ N1,
author = {Norrie, K. J.},
title = {Actions and automorphisms of crossed modules},
journal = {Bull. Soc. Math. France},
volume = { 118},
year = { 1990},
pages = { 129\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 146},
printedkey = {Nor90}
}
@ article{ W2,
author = {Whitehead, J. H. C.},
title = {On operators in relative homotopy groups},
journal = {Ann. of Math.},
volume = { 49},
year = { 1948},
pages = { 610\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 640},
printedkey = {Whi48}
}
@ article{ W1,
author = {Whitehead, J. H. C.},
title = {Combinatorial homotopy {I}{I}},
journal = {Bull. Amer. Math. Soc.},
volume = { 55},
year = { 1949},
pages = { 453\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 496},
printedkey = {Whi49}
}
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