Strong double coverings of groups
Group Theory
2007-05-23 v1
Abstract
By a covering of a group G we mean an epimorphism from a group F to G. Introducing the notion of strong covering as a covering pi:F-->G such that every automorphism of G is a projection via pi of an automorphism of F, the main aim of this paper is to characterise double coverings which are strong. This is done in details for metacyclic groups, rotary platonic groups and some finite simple groups.
Cite
@article{arxiv.math/0610556,
title = {Strong double coverings of groups},
author = {Ana Breda and Antonio Breda d'Azevedo and Domenico Catalano},
journal= {arXiv preprint arXiv:math/0610556},
year = {2007}
}
Comments
17 pages, 4 tables, 6 diagrams