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

作　　者：Emma L. Rode 

机构地区：[1]Department of Mathematics, Southern Utah University, Cedar City, UT 84720, USA

出　　处：《Algebra Colloquium》2019年第1期31-50,共20页代数集刊（英文版）

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.

关 键 词：S-ring fc-class CENTRALIZER RING 

分 类 号：O1[理学—数学]