On the Gruenberg–Kegel graph of integral group rings of finite groups

DOI10.1142/S0218196717500308zbMath1391.16042arXiv1612.05025OpenAlexW2726287124MaRDI QIDQ4588869

Wolfgang Kimmerle, Olexandr Konovalov

Publication date: 3 November 2017

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.05025

zbMATH Keywords

torsionintegralsimple groupgroup ringunitZassenhaus conjecturealmost simple groupGruenberg-Kegel graph

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Units, groups of units (associative rings and algebras) (16U60)

Related Items

Algorithmic Aspects of Units in Group Rings ⋮ Rational Conjugacy of Torsion Units in Integral Group Rings of Non-Solvable Groups ⋮ On the Gruenberg–Kegel graph of integral group rings of finite groups ⋮ On the prime graph question for integral group rings of 4-primary groups I ⋮ Partial augmentations power property: a Zassenhaus conjecture related problem ⋮ Gruenberg-Kegel graphs: cut groups, rational groups and the prime graph question ⋮ On the prime graph question for integral group rings of 4-primary groups. II. ⋮ A counterexample to the first Zassenhaus conjecture ⋮ On the prime graph question for integral group rings of Conway simple groups ⋮ From examples to methods: Two cases from the study of units in integral group rings ⋮ 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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