Recent advances on torsion subgroups of integral group rings

DOI10.1017/CBO9781316227343.021zbMath1346.16034OpenAlexW2492395582MaRDI QIDQ2990052

Wolfgang Kimmerle, Olexandr Konovalov

Publication date: 29 July 2016

Published in: Groups St Andrews 2013 (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/cbo9781316227343.021

zbMATH Keywords

finite groupsintegral group ringsfinite subgroups of unit groups

Mathematics Subject Classification ID

Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Units, groups of units (associative rings and algebras) (16U60)

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Sylow like theorems for $V(mathbb{Z}G)$ ⋮ Algorithmic Aspects of Units in Group Rings ⋮ Rational Conjugacy of Torsion Units in Integral Group Rings of Non-Solvable Groups ⋮ On the prime graph question for integral group rings of 4-primary groups I ⋮ Gruenberg-Kegel graphs: cut groups, rational groups and the prime graph question ⋮ On the prime graph question for integral group rings of Conway simple groups ⋮ An application of blocks to torsion units in group rings ⋮ Orders of units in integral group rings and blocks of defect 1 ⋮ On the prime graph question for almost simple groups with an alternating socle

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