Construction of a counterexample to a conjecture of zassenhaus

DOI10.1080/00927879108824261zbMath0742.20012OpenAlexW1995002833MaRDI QIDQ3978241

Lee Klingler

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1080/00927879108824261

zbMATH Keywords

automorphismisomorphism problemintegral group ringconjecture of Zassenhausaugmented group bases

Mathematics Subject Classification ID

Group rings (16S34) Automorphisms and endomorphisms (16W20) 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

Unnamed Item ⋮ Sylow like theorems for $V(mathbb{Z}G)$ ⋮ The modular isomorphism problem: a survey ⋮ Automorphisms of generic Iwahori-Hecke algebras and integral group rings of finite Coxeter groups ⋮ Integral group rings of frobenius groups and the conjectures of H.J. Zassenhaus ⋮ Isomorphisms of integral group rings of infinite groups ⋮ A counterexample to the first Zassenhaus conjecture ⋮ Finite groups of matrices over group rings ⋮ Units of group rings and a conjecture of H. J. Zassenhaus ⋮ On the Structure of Integral Group Rings of Sporadic Groups

Cites Work

• Unnamed Item
• Integral representations of groups of square-free order