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CHARACTERIZING n-ISOCLINIC CLASSES OF CROSSED MODULES

Part of: Structure and classification of infinite or finite groups Special categories Other generalizations of groups

Published online by Cambridge University Press:  08 October 2018

HAJAR RAVANBOD ,
ALI REZA SALEMKAR  and
SAJEDEH TALEBTASH
HAJAR RAVANBOD*
Affiliation:
Faculty of Mathematical Sciences, Shahid Beheshti University, 1983963113, G.C., Tehran, Iran e-mails: salemkar@sbu.ac.ir, hajarravanbod@gmail.com, sajedehtalebtash@yahoo.com
ALI REZA SALEMKAR*
Affiliation:
Faculty of Mathematical Sciences, Shahid Beheshti University, 1983963113, G.C., Tehran, Iran e-mails: salemkar@sbu.ac.ir, hajarravanbod@gmail.com, sajedehtalebtash@yahoo.com
SAJEDEH TALEBTASH
Affiliation:
Faculty of Mathematical Sciences, Shahid Beheshti University, 1983963113, G.C., Tehran, Iran e-mails: salemkar@sbu.ac.ir, hajarravanbod@gmail.com, sajedehtalebtash@yahoo.com
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Abstract

In this paper, we introduce the notion of the equivalence relation, called n-isoclinism, between crossed modules of groups, and give some basic properties of this notion. In particular, we obtain some criteria under which crossed modules are n-isoclinic. Also, we present the notion of n-stem crossed module and, under some conditions, determine them within an n-isoclinism class.

MSC classification

Primary: 18B99: None of the above, but in this section
Secondary: 20E34: General structure theorems 20N99: None of the above, but in this section
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 61 , Issue 3 , September 2019 , pp. 637 - 656
Copyright
Copyright © Glasgow Mathematical Journal Trust 2018 

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