Strong double coverings of groups

2006/10/18 by Ana Breda, Breda, Ana, Antonio Breda d'Azevedo +3
Mathematics · #20E22 #FOS: Mathematics #Group Theory (math.GR) #math.GR #msc:20E22

paper · pdf · doi:10.48550/arxiv.math/0610556

17 pages, 4 tables, 6 diagrams

arxiv created 2006/10/18 · arxiv updated 2009/12/01

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.

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