Covering certain monolithic groups with proper subgroups

2012/11/22 by Martino Garonzi, Garonzi, Martino
Engineering · Mathematics · #Finite Group Theory Research #Limits and Structures in Graph Theory #graph theory and CDMA systems #math.GR

paper · pdf · doi:10.48550/arxiv.1211.5345

Communications in Algebra (2012)

arxiv created 2012/11/22 · arxiv updated 2012/11/26

Abstract

Given a finite non-cyclic group G, call σ(G) the least number of proper subgroups of G needed to cover G. In this paper we give lower and upper bounds for σ(G) for G a group with a unique minimal normal subgroup N isomorphic to A_n^m where n ≥ 5 and G/N is cyclic. We also show that σ(A₅ \wr C₂)=57.

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