On the prime graph question for integral group rings of 4-primary groups I

DOI10.1142/S0218196717500357zbMath1393.16018arXiv1601.05689OpenAlexW3099768440MaRDI QIDQ4588874

Andreas Bächle, Leo Margolis

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/1601.05689

zbMATH Keywords

projective special linear groupZassenhaus conjectureintegral group ringalmost simple grouptorsion unitGruenberg-Kegel graphprime graph question

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 (10)

Algorithmic Aspects of Units in Group Rings ⋮ On the Gruenberg–Kegel graph of integral group rings of finite groups ⋮ Partial augmentations power property: a Zassenhaus conjecture related problem ⋮ On the prime graph question for integral group rings of 4-primary groups. II. ⋮ 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 ⋮ Zassenhaus conjecture on torsion units holds for \(\text{SL}(2, {p})\) and \(\text{SL}(2, {p}^2)\) ⋮ 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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