Commutativity degree of crossed modules

ARVASİ Z., Çağlayan E., ODABAŞ A.

Turkish Journal of Mathematics, vol.46, no.1, pp.242-256, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 46 Issue: 1
  • Publication Date: 2022
  • Doi Number: 10.3906/mat-2109-64
  • Journal Name: Turkish Journal of Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.242-256
  • Keywords: Commutativity degree, Crossed module, Gap, Isoclinic crossed module
  • Bilecik Şeyh Edebali University Affiliated: Yes

Abstract

In this work, we define the notion of commutativity degree of crossed modules and find some bounds on commutativity degree for special types of crossed modules. Also, we give a function for finding commutativity degree of crossed modules in GAP and classify crossed modules by using this function.