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Recent advances on torsion subgroups of integral group rings

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Abstract

This survey reports on recent progress made on finite subgroups of the unit group of integral group rings of finite groups. We show that the Gruenberg–Kegel graph of ZG coincides with that one of G provided |G| is divisible by at most three primes and give an outline how such a result may be obtained with the aid of computational algebra. In the last section we discuss this question for sporadic simple groups and their automorphism groups.

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Details

Original languageEnglish
Title of host publicationGroups St Andrews 2013
PublisherCambridge University Press
Pages331-347
Number of pages17
ISBN (Print)9781316227343, 9781107514546
DOIs
StatePublished - 2015

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