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 holo...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.展开更多
基金supported by UBACyT 20020171000256BA and PICT 2016-2481.
文摘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.