Automorphisms of the integral group ring of the wreath product of a \(p\)- group with \(S_ n\), the case \(n=2\)

DOI10.1216/rmjm/1181072498zbMath0809.16041OpenAlexW1989303811MaRDI QIDQ1328243

Sudarshan K. Sehgal, Michael M. Parmenter

Publication date: 2 April 1995

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

Full work available at URL: https://doi.org/10.1216/rmjm/1181072498

zbMATH Keywords

symmetric groupwreath productinner automorphismintegral group ringfinite \(p\)-groupnormalized automorphism

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

Unnamed Item ⋮ 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

• 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 ring of the wreath product of a \(p\)- group with \(S_ n\)
• Automorphisms of the Integral Group Ring of S n
• Unnamed Item