Finite groups of matrices over group rings

DOI10.1090/S0002-9947-99-02319-3zbMath0941.20002OpenAlexW1842795600MaRDI QIDQ4700137

Gerald H. Cliff, Alfred Weiss

Publication date: 1 November 1999

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-99-02319-3

zbMATH Keywords

finite groupscharactersunit groupsintegral group ringsZassenhaus conjecturesfinite subgroups of GL

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Integral representations of finite groups (20C10) Other matrix groups over rings (20H25) Finite nilpotent groups, (p)-groups (20D15) Units, groups of units (associative rings and algebras) (16U60)

Related Items (6)

Unnamed Item ⋮ Cliff-Weiss inequalities and the Zassenhaus conjecture ⋮ Group algebras. ⋮ On the Zassenhaus conjecture for certain cyclic-by-nilpotent groups ⋮ A counterexample to the first Zassenhaus conjecture ⋮ An algorithm to construct candidates to counterexamples to the Zassenhaus conjecture

Cites Work

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• Torsion units in integral group rings of some metabelian groups. II
• Rigidity of \(p\)-adic \(p\)-torsion
• Torsion units in integral group rings.
• Construction of a counterexample to a conjecture of zassenhaus
• Exceptional group ring automorphisms for some metabelian groups

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