On the IYB-property in some solvable groups.

DOI10.1007/s00013-013-0569-1zbMath1288.20004arXiv1304.2063OpenAlexW2061539070MaRDI QIDQ382258

Florian Eisele

Publication date: 18 November 2013

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.2063

zbMATH Keywords

finite solvable groupsquantum Yang-Baxter equationintegral group ringsisomorphism probleminvolutive Yang-Baxter groups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Yang-Baxter equations (16T25)

Related Items

Some group-theoretical approaches to skew left braces ⋮ On Yang-Baxter groups ⋮ On finite involutive Yang–Baxter groups ⋮ Counterexample to a conjecture about braces.

Uses Software

• GAP

Cites Work

• An introduction to group rings
• Set-theoretical solutions to the quantum Yang-Baxter equation
• Braces and the Yang-Baxter equation
• Dimension subgroups
• Dimension subgroups over arbitrary coefficient rings
• Involutive Yang-Baxter groups
• Circle Groups of Nilpotent Rings
• A counterexample to the isomorphism problem for integral group rings