Skip to content

Research at St Andrews

Recent advances on torsion subgroups of integral group rings

Research output: Chapter in Book/Report/Conference proceedingChapter

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.

Close

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

Discover related content
Find related publications, people, projects and more using interactive charts.

View graph of relations

Related by author

  1. How to learn GAP - an open source software system for discrete computational mathematics

    Konovalov, A. & Torpey, M. C. Jan 2019

    Research output: Contribution to conferencePoster

  2. On skew braces and their ideals

    Konovalov, A., Smoktunowicz, A. & Vendramin, L. 22 Dec 2018 In : Experimental Mathematics. Latest Articles, 10 p.

    Research output: Contribution to journalArticle

  3. LAGUNA - Lie AlGebras and UNits of group Algebras, Version 3.9.1 (Refereed GAP package)

    Bovdi, V., Konovalov, A., Rossmanith, R. & Schneider, C. 30 Nov 2018

    Research output: Non-textual formSoftware

  4. Wedderga - Wedderburn Decomposition of Group Algebras, Version 4.9.5 (Refereed GAP package)

    Bakshi , G. K., Cristo , O. B., Herman, A., Konovalov, A., Maheshwary, S., Olivieri, A., Olteanu, G., del Río , Á. & Van Gelder, I. 30 Nov 2018

    Research output: Non-textual formSoftware

  5. Software Carpentry: Programming with GAP: Version 2.0

    Software Carpentry team 13 Nov 2018 Zenodo

    Research output: Other contribution

ID: 241385725