From cssc-crossed modules to categorical groups
Category Theory
2024-10-15 v1
Abstract
For any cssc-crossed module a category is constructed, equipped with a structure and proved that this is a coherent categorical group. Together with a result of the previous paper, where to any categorical group the cssc-crossed module is associated, this construction will enable us to prove an equivalence between the categories of categorical groups and of cssc-crossed modules in the sequel to this paper.
Cite
@article{arxiv.2402.07286,
title = {From cssc-crossed modules to categorical groups},
author = {Tamar Datuashvili and Osman Mucuk and Nazmiye Alemdar and Tunçar Şahan},
journal= {arXiv preprint arXiv:2402.07286},
year = {2024}
}
Comments
22 pages, research paper, LaTeX2e, xypic