Cliff-Weiss inequalities and the Zassenhaus conjecture

DOI10.1016/j.jalgebra.2018.04.019zbMath1420.16026arXiv1706.02483OpenAlexW2962709606WikidataQ123337373 ScholiaQ123337373MaRDI QIDQ2636369

Leo Margolis, Ángel Del Río

Publication date: 5 June 2018

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

Full work available at URL: https://arxiv.org/abs/1706.02483

zbMATH Keywords

groups of unitsZassenhaus conjectureintegral group ring

Mathematics Subject Classification ID

Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Integral representations of finite groups (20C10) Units, groups of units (associative rings and algebras) (16U60)

Related Items (4)

On the Zassenhaus conjecture for certain cyclic-by-nilpotent groups ⋮ Partial augmentations power property: a Zassenhaus conjecture related problem ⋮ A counterexample to the first Zassenhaus conjecture ⋮ An algorithm to construct candidates to counterexamples to the Zassenhaus conjecture

Cites Work

• Group ring groups. Volume 1: Orders and generic constructions of units.
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• Torsion units in integral group rings of some metabelian groups. II
• Rigidity of \(p\)-adic \(p\)-torsion
• Torsion matrices over commutative integral group rings
• An algorithm to construct candidates to counterexamples to the Zassenhaus conjecture
• Partial augmentations power property: a Zassenhaus conjecture related problem
• Zassenhaus Conjecture for cyclic-by-abelian groups
• TORSION UNITS IN INTEGRAL GROUP RINGS OF CERTAIN METABELIAN GROUPS
• Torsion units in integral group rings.
• Torsion units in matrix group rings
• Finite groups of matrices over group rings
• The unit group of 1+Δ(G)Δ(A) is torsion-free
• Torsion matrices over abelian group rings
• On the Torsion Units of Some Integral Group Rings
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