Automorphisms of the integral group ring of the wreath product of a \(p\)- group with \(S_ n\)

DOI10.1216/rmjm/1181072657zbMath0796.16030OpenAlexW2090206217MaRDI QIDQ1802697

Antonio Giambruno, Sudarshan K. Sehgal

Publication date: 29 June 1993

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072657

zbMATH Keywords

automorphismsymmetric groupfinite groupwreath product\(p\)-groupintegral group ringclass sumsmatrices over the \(p\)-adic group ringunit of the rational group algebra

Mathematics Subject Classification ID

Group rings (16S34) Automorphisms and endomorphisms (16W20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Extensions, wreath products, and other compositions of groups (20E22) Finite nilpotent groups, (p)-groups (20D15) Units, groups of units (associative rings and algebras) (16U60)

Related Items (6)

Automorphisms of the integral group ring of the wreath product of a \(p\)- group with \(S_ n\), the case \(n=2\) ⋮ Unnamed Item ⋮ On the Torsion Units of Some Integral Group Rings ⋮ The Normalizer Property for Integral Group Rings of Some Finite Nilpotent-by-Nilpotent Groups ⋮ The Isomorphism Problem for Integral Group Rings of a Complete Monomial Group ⋮ The Normalizer Property for Integral Group Rings of Complete Monomial Groups

Cites Work

• Unnamed Item
• Unnamed Item
• Rigidity of \(p\)-adic \(p\)-torsion
• On the automorphism group of the integral group ring of \(S_ k \text{wr} S_ n\)
• Automorphisms of the integral group rings of some wreath products
• Automorphisms of the Integral Group Ring of S n

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