TORSION UNITS IN INTEGRAL GROUP RINGS OF CERTAIN METABELIAN GROUPS

DOI10.1017/S0013091505000039zbMath1151.16033arXiv1207.5256MaRDI QIDQ3520175

Martin Hertweck

Publication date: 15 August 2008

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.5256

zbMATH Keywords

metabelian groupsZassenhaus conjectureunits of finite ordertorsion units in integral group rings

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) 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 (16)

Traces of Torsion Units ⋮ Cliff-Weiss inequalities and the Zassenhaus conjecture ⋮ Algorithmic Aspects of Units in Group Rings ⋮ On the Zassenhaus conjecture for certain cyclic-by-nilpotent groups ⋮ A Sylow theorem for the integral group ring of \(\mathrm{PSL}(2,q)\) ⋮ Partial augmentations power property: a Zassenhaus conjecture related problem ⋮ On the First Zassenhaus Conjecture and Direct Products ⋮ On partial augmentations of elements in integral group rings ⋮ Unnamed Item ⋮ Zassenhaus conjecture for \(A_6\). ⋮ A counterexample to the first Zassenhaus conjecture ⋮ An algorithm to construct candidates to counterexamples to the Zassenhaus conjecture ⋮ Torsion units in integral group rings of Janko simple groups ⋮ From examples to methods: Two cases from the study of units in integral group rings ⋮ Finite groups of units and their composition factors in the integral group rings of the groups PSL(2, q) ⋮ Revisiting the Zassenhaus conjecture on torsion units for the integral group rings of small groups.

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