Isoclinism of crossed modules

被引：8

作者：

Odabas, A. ^{[1
]}

Uslu, E. O. ^{[1
]}

Ilgaz, E. ^{[1
]}

机构：

[1] Osmangazi Univ, Dept Math & Comp Sci, Eskisehir, Turkey

来源：

JOURNAL OF SYMBOLIC COMPUTATION | 2016年 / 74卷

关键词：

Isoclinism; Crossed module; GAP; AUTOMORPHISMS;

D O I：

10.1016/j.jsc.2015.08.006

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, we introduce the notion of isoclinism among crossed modules and describe various properties of the notion. We give an algorithm for checking isoclinism among crossed modules and apply the algorithm (implemented in GAP) to classify certain crossed modules. (C) 2015 Elsevier Ltd. All rights reserved.

引用

页码：408 / 424

页数：17

共 26 条

[1] Enumeration of Cat1-groups of low order [J].

Alp, M ;

Wensley, CD .

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2000, 10 (04) :407-424

[2]

Alp M., 2015, CROSSED MODULES CAT1

[3]

Berkovich Y, 2008, DEGRUYTER EXPOS MATH, V47, P1, DOI 10.1515/9783110208238

[4]

BEYL FR, 1982, GROUP EXTENSIONS REP

[5]

Brown R, 2011, EMS TRACTS MATH, V15, P1

[6] Computation and homotopical applications of induced crossed modules [J].

Brown, R ;

Wensley, CD .

JOURNAL OF SYMBOLIC COMPUTATION, 2003, 35 (01) :59-72

[7] Computing group resolutions [J].

Ellis, G .

JOURNAL OF SYMBOLIC COMPUTATION, 2004, 38 (03) :1077-1118

[8]

Ellis G., 2013, HOMOLOGICAL ALGEBRA

[9] Computational homology of n-types [J].

Ellis, Graham ;

Le Van Luyen .

JOURNAL OF SYMBOLIC COMPUTATION, 2012, 47 (11) :1309-1317

[10]

Hall M., 1964, The groups of order 2n (n = 6)

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