Affine structures of decomposable solvable groups

JOURNAL OF ALGEBRA

卷:556

Article

Rump, Wolfgang¹ 

[1] Univ Stuttgart, Inst Algebra & Number Theory, Pfaffenwaldring 57, D-70550 Stuttgart, Germany

关键词: Brace;    Solvable group;    Bi-crossed product;    Affine structure;   

DOI  :  10.1016/j.jalgebra.2020.04.004

来源: Elsevier

【 摘 要 】

Bi-crossed products of groups are closely related to braces, a ring-like structure connected with solutions to the Yang-Baxter equation. The asymmetric product of braces, which has become useful for the construction of regular affine groups and simple braces, as well as several other product constructions, are unified, extended, and simplified. All bi-crossed products of bicyclic braces are classified. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free