Skew Braces of Size p^(2)q I:Abelian Type  

作　　者：E.Acri M.Bonatto 

机构地区：[1]IMAS-CONICET and Universidad de Buenos Aires,Pabellon 1 Ciudad Universitaria,1428,Buenos Aires,Argentina [2]Dipartimento di Matematica e Informatica,Universita di Ferrara,Italy

出　　处：《Algebra Colloquium》2022年第2期297-320,共24页代数集刊（英文版）

基　　金：supported by UBACyT 20020171000256BA and PICT 2016-2481.

摘　　要：This is the first part of a series of two articles.In this paper we enumerate and classify the left braces of size p^(2)q,where p and q are distinct prime numbers,by the classification of regular subgroups of the holomorph of the abelian groups of the same order.We also provide the formulas that define the constructed braces.

关 键 词：Yang-Baxter equation set-theoretical solution skew brace Hopf-Galois extension 

分 类 号：O15[理学—数学]