Torsion Units in Integral Group Rings

DOI10.2307/2160159zbMath0802.16026OpenAlexW4230738158MaRDI QIDQ4281727

Angela Valenti

Publication date: 10 March 1994

Full work available at URL: https://doi.org/10.2307/2160159

zbMATH Keywords

group of unitsfinite grouptorsion unitsZassenhaus conjectureintegral group ringaugmentation 1rational unit

Mathematics Subject Classification ID

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 (6)

Unnamed Item ⋮ Algorithmic Aspects of Units in Group Rings ⋮ A Sylow theorem for the integral group ring of \(\mathrm{PSL}(2,q)\) ⋮ 𝑝-subgroups of units in ℤ𝔾 ⋮ Subgroup isomorphism problem for units of integral group rings ⋮ Units of group rings and a conjecture of H. J. Zassenhaus

Cites Work

• Torsion units in integral group rings of metacyclic groups
• On a conjecture of Zassenhaus on torsion units in integral group rings
• Rigidity of \(p\)-adic \(p\)-torsion
• Units of integral group rings of metabelian groups
• On a Conjecture of Zassenhaus on Torsion Units in Integral Group Rings. II
• Unnamed Item
• Unnamed Item

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