On a Generalized Centralizer Ring of a Finite Group Which Det ermines the Group

作     者：Emma L. Rode 

作者机构：Department of Mathematics Southern Utah University Cedar City UT 84720 USA 

出 版 物：《Algebra Colloquium》 (代数集刊（英文版）)

年 卷 期：2019年第26卷第1期

页      面：31-50页

核心收录：

学科分类：07[理学] 0701[理学-数学] 

主　　题：S-ring fc-class centralizer ring 

摘      要：The k-characters are class functions on subsets of G^k called the k-classes of G. For a finite group G, the k-class sums form a basis for a subring of CG^k, which we call the k-S-ring of G、and we think of these rings as generalized centralizer rings. We show that for a finite group G the 3-S-ring determines G. More specifically, the group characters and set products of certain 3-classes of G, which we call “uniform 3-classes, determine G.