On torsion subgroups in integral group rings of finite groups.

DOI10.1016/j.jalgebra.2010.05.026zbMath1228.16037OpenAlexW2021784250MaRDI QIDQ2431532

Wolfgang Kimmerle, Andreas Bächle

Publication date: 15 April 2011

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2010.05.026

zbMATH Keywords

finite groupstorsion subgroupsGruenberg-Kegel graphsminimal simple groupsnormalized unit groupsunits of integral group rings

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Group rings (16S34) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Finite simple groups and their classification (20D05) Center, normalizer (invariant elements) (associative rings and algebras) (16U70) Units, groups of units (associative rings and algebras) (16U60)

Related Items (11)

Sylow like theorems for $V(mathbb{Z}G)$ ⋮ Algorithmic Aspects of Units in Group Rings ⋮ On the Gruenberg–Kegel graph of integral group rings of finite groups ⋮ A Sylow theorem for the integral group ring of \(\mathrm{PSL}(2,q)\) ⋮ 𝑝-subgroups of units in ℤ𝔾 ⋮ INTEGRAL GROUP RING OF THE MATHIEU SIMPLE GROUP M₂₄ ⋮ Unnamed Item ⋮ TORSION UNITS IN INTEGRAL GROUP RINGS OF CONWAY SIMPLE GROUPS ⋮ Subgroup isomorphism problem for units of integral group rings ⋮ On the determination of Sylow numbers ⋮ From examples to methods: Two cases from the study of units in integral group rings

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