Fibrations of 2-crossed modules

EGE ARSLAN U., AKÇA İ. İ., Onarlı Irmak G., AVCIOĞLU O.

Mathematical Methods in the Applied Sciences, vol.42, no.16, pp.5293-5304, 2019 (SCI-Expanded) identifier

  • Publication Type: Article / Abstract
  • Volume: 42 Issue: 16
  • Publication Date: 2019
  • Doi Number: 10.1002/mma.5321
  • Journal Name: Mathematical Methods in the Applied Sciences
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.5293-5304
  • Keywords: 2-crossed module, crossed module, fibration, pullback
  • Uşak University Affiliated: Yes

Abstract

In this study, we mainly show that the functor from the category X2Mod of 2-crossed modules of groups to the category Groups of groups assigning to each 2-crossed module {L,M,P,𝜕2,𝜕1} the group P, and to each 2-crossed module morphism (f2,f1,f0) the group homomorphism f0 is a fibration. In addition, we study some related properties.