English

On Regular Representation of 2-Crossed Modules and Cat2-Groups

Representation Theory 2023-02-27 v1

Abstract

In this paper, we describe a regular representation given by Cayley theorem for 2-crossed modules of groups and their associated Gray 3-group groupoids with a single 0-cell and equivalently cat2-groups.

Keywords

Cite

@article{arxiv.2302.12641,
  title  = {On Regular Representation of 2-Crossed Modules and Cat2-Groups},
  author = {Murat Sarikaya and Erdal Ulualan},
  journal= {arXiv preprint arXiv:2302.12641},
  year   = {2023}
}
R2 v1 2026-06-28T08:48:49.056Z