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<h3>References</h3>

<a id="biBA1" name="biBA1"></a>

[Alp97] Alp, M.,
GAP, crossed modules, cat1-groups:
 applications of computational group theory,
Ph.D. thesis,
University of Wales, Bangor
(1997).


<a id="biBAOW" name="biBAOW"></a>

[AOW23] Arvasi, Z., Odabas, A. and Wensley, C. D.,
Computing 3-Dimensional Groups :
 Crossed Squares and Cat2-groups,
J. Symbolic Computation,
114
(2023),
267-281.


<a id="biBAW1" name="biBAW1"></a>

[AW00] Alp, M. and Wensley, C. D.,
Enumeration of cat1-groups of low order,
Int. J. Algebra and Computation,
10
(2000),
407--424.


<a id="biBAW2" name="biBAW2"></a>

[AW10] Alp, M. and Wensley, C. D.,
Automorphisms and homotopies of groupoids and crossed modules,
Applied Categorical Structures,
18
(2010),
473-495.


<a id="biBBH1" name="biBBH1"></a>

[BH78] Brown, R. and Higgins, P. J.,
On the connection between the second relative
 homotopy group and some related spaces,
Proc. London Math. Soc.,
36
(1978),
193--212.


<a id="biBbrow:hig:siv" name="biBbrow:hig:siv"></a>

[BHS11] Brown, R., Higgins, P. J. and Sivera, R.,
Nonabelian algrebraic topology,
European Mathematical Society,
Tracts in Mathematics,
15
(2011).


<a id="biBbrow:lod" name="biBbrow:lod"></a>

[BL87] Brown, R. and Loday, J.-L.,
Van Kampen theorems for diagram of spaces,
Topology,
26
(1987),
311--335.


<a id="biBB82" name="biBB82"></a>

[Bro82] Brown, R. (Brown, R. and Thickstun, T. L., Eds.),
Higher-dimensional group theory,
 in Low-dimensional topology,
Cambridge University Press,
London Math. Soc. Lecture Note Series,
48
(1982),
215--238.


<a id="biBB18" name="biBB18"></a>

[Bro18] Brown, R.,
Crossed modules, and the homotopy 2-type of a free loop space,
arXiv:1003.5617 [math.AT]
(2018),
1--11.


<a id="biBBW1" name="biBBW1"></a>

[BW95] Brown, R. and Wensley, C. D.,
On finite induced crossed modules,
 and the homotopy \(2\)-type of mapping cones,
Theory and Applications of Categories,
1
(1995),
54--71.


<a id="biBBW2" name="biBBW2"></a>

[BW96] Brown, R. and Wensley, C. D.,
Computing crossed modules induced by an inclusion of a normal subgroup,
with applications to homotopy \(2\)-types,
Theory and Applications of Categories,
2
(1996),
3--16.


<a id="biBBW3" name="biBBW3"></a>

[BW03] Brown, R. and Wensley, C. D.,
Computation and homotopical applications
 of induced crossed modules,
J. Symbolic Computation,
35
(2003),
59--72.


<a id="biBEL" name="biBEL"></a>

[EL14] Ellis, G. J. and Le, V. L.,
Homotopy 2-types of low order,
Experimental Math.,
23
(2014),
383--389.


<a id="biBE1" name="biBE1"></a>

[Ell84] Ellis, G.,
Crossed modules and their higher dimensional analogues,
Ph.D. thesis,
University of Wales, Bangor
(1984).


<a id="biBell:st" name="biBell:st"></a>

[ES87] Ellis, G. and Steiner, R.,
Higher dimensional crossed modules
 and the homotopy groups of (n+1)-ads.,
J. Pure and Appl. Algebra,
46
(1987),
117--136.


<a id="biBAutoDoc" name="biBAutoDoc"></a>

[GH17] Gutsche, S. and Horn, M.,
AutoDoc - Generate documentation from GAP source code (Version 2017.09.15)
(2017) 
(
 GAP package, <a href="https://github.com/gap-packages/AutoDoc">https://github.com/gap-packages/AutoDoc</a>
 ).


<a id="biBG1" name="biBG1"></a>

[Gil90] Gilbert, N. D.,
Derivations, automorphisms and crossed modules,
Comm. in Algebra,
18
(1990),
2703--2734.


<a id="biBGitHubPagesForGAP" name="biBGitHubPagesForGAP"></a>

[Hor17] Horn, M.,
GitHubPagesForGAP - Template for easily using GitHub Pages within GAP packages (Version 0.2)
(2017) 
(
 GAP package, <a href="https://gap-system.github.io/GitHubPagesForGAP/">https://gap-system.github.io/GitHubPagesForGAP/</a>
 ).


<a id="biBIOU1" name="biBIOU1"></a>

[IOU16] Ilgaz, E., Odabas, A. and Uslu, E. O.,
Isoclinism of crossed modules,
J. Symb. Comput.,

(2016),
1--17 
(https://doi.org/10.1016/j.jsc.2015.08.006).


<a id="biBJNO" name="biBJNO"></a>

[JNO90] James, R., Newman, M. F. and O'Brien, E. A.,
The groups of order 128,
J. Algebra,
129
(1990),
136--158.


<a id="biBGAPDoc" name="biBGAPDoc"></a>

[LN17] Lübeck, F. and Neunhöffer, M.,
GAPDoc (version 1.6),
RWTH Aachen
(2017) 
(
 GAP package,
 <a href="https://www.math.rwth-aachen.de/~Frank.Luebeck/GAPDoc/index.html">https://www.math.rwth-aachen.de/~Frank.Luebeck/GAPDoc/index.html</a>
 ).


<a id="biBL1" name="biBL1"></a>

[Lod82] Loday, J.-L.,
Spaces with finitely many non-trivial homotopy groups,
J. App. Algebra,
24
(1982),
179--202.


<a id="biBMW" name="biBMW"></a>

[MLW50] Mac Lane, S. and Whitehead, J. H. C.,
On the 3-type of a complex,
Proc. Nat. Acad. Sci. U.S.A.,
37
(1950),
41--48.


<a id="biBM1" name="biBM1"></a>

[Moo01] Moore, E. J.,
Graphs of Groups:
 Word Computations and Free Crossed Resolutions,
Ph.D. thesis,
University of Wales, Bangor
(2001).


<a id="biBN2" name="biBN2"></a>

[Nor87] Norrie, K. J.,
Crossed modules and analogues of group theorems,
Ph.D. thesis,
King's College, University of London
(1987).


<a id="biBN1" name="biBN1"></a>

[Nor90] Norrie, K. J.,
Actions and automorphisms of crossed modules,
Bull. Soc. Math. France,
118
(1990),
129--146.


<a id="biBW2" name="biBW2"></a>

[Whi48] Whitehead, J. H. C.,
On operators in relative homotopy groups,
Ann. of Math.,
49
(1948),
610--640.


<a id="biBW1" name="biBW1"></a>

[Whi49] Whitehead, J. H. C.,
Combinatorial homotopy II,
Bull. Amer. Math. Soc.,
55
(1949),
453--496.


 

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