Isoclinism of crossed modules

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Odabas A., Uslu E. O., Ilgaz E.

JOURNAL OF SYMBOLIC COMPUTATION, vol.74, pp.408-424, 2016 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 74
• Publication Date: 2016
• Doi Number: 10.1016/j.jsc.2015.08.006
• Journal Name: JOURNAL OF SYMBOLIC COMPUTATION
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.408-424
• Keywords: Isoclinism, Crossed module, GAP, AUTOMORPHISMS
• Eskisehir Osmangazi University Affiliated: Yes

Abstract

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.