Covering groups with subgroups-Reference-Cited by-同舟云学术

Covering groups with subgroups

Published:1997-06 Issue:3 Volume:55 Page:469-476
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Austral. Math. Soc.

Author:

Bryce R.A.,Fedri V.,Serena L.

Abstract

A group is covered by a collection of subgroups if it is the union of the collection. The intersection of an irredundant cover of n subgroups is known to have index bounded by a function of n, though in general the precise bound is not known. Here we confirm a claim of Tompkinson that the correct bound is 16 when n is 5. The proof depends on determining all the ‘minimal’ groups with an irredundant cover of five maximal subgroups.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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