Non-abelian composition factors of finite groups with the CUT-property

DOI10.1016/j.jalgebra.2018.12.002zbMath1431.16025OpenAlexW2903990300WikidataQ128746523 ScholiaQ128746523MaRDI QIDQ1712483

Stephen Trefethen

Publication date: 22 January 2019

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2018.12.002

zbMATH Keywords

group of unitsintegral group ringsCUT-propertyquadratic rationalquadratic rational group

Mathematics Subject Classification ID

Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (6)

Abelianization and fixed point properties of units in integral group rings ⋮ Gruenberg-Kegel graphs: cut groups, rational groups and the prime graph question ⋮ Units and augmentation powers in integral group rings ⋮ Abelianization of the unit group of an integral group ring ⋮ Field of values of cut groups and \(k\)-rational groups ⋮ Finite simple groups with short Galois orbits on conjugacy classes

Cites Work

• Non-abelian composition factors of \(m\)-rational groups
• Integral Group Rings with Trivial Central Units
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