Actor of categories internal to groups
Category Theory
2018-05-29 v1 Algebraic Topology
Abstract
In this study, using the Brown-Spencer theorem and in the ligth of the works of Norrie, in the category of internal categories within groups, also called group-groupoids, we interpret the notion of actor of a crossed module over groups. Further, we construct the action of a group-groupoid on a group-groupoid. Moreover, we give the explicit construction of semi-direct product of two group-groupoids and of holomorph of group-groupoids.
Keywords
Cite
@article{arxiv.1805.10951,
title = {Actor of categories internal to groups},
author = {Tunçar Şahan},
journal= {arXiv preprint arXiv:1805.10951},
year = {2018}
}
Comments
17 pages, research paper, LaTeX2e, xypic