Crossed modules and symmetric cohomology of groups
K-Theory and Homology
2019-02-07 v1 Algebraic Topology
Abstract
This paper links the third symmetric cohomology (introduced by Staic and Zarelua ) to crossed modules with certain properties. The equivalent result in the language of 2-groups states that an extension of 2-groups corresponds to an element of iff it possesses a section which preserves inverses in the 2-categorical sense. This ties in with Staic's (and Zarelua's) result regarding and abelian extensions of groups.
Keywords
Cite
@article{arxiv.1902.01900,
title = {Crossed modules and symmetric cohomology of groups},
author = {Mariam Pirashvili},
journal= {arXiv preprint arXiv:1902.01900},
year = {2019}
}