The Isomorphism Problem of Normalized Unit Groups of Group Algebras of a Class of Finite 2-groups

作     者：Yu Lei WANG He Guo LIU Yu Lei WANG;He Guo LIU

作者机构：Department of MathematicsHe’nan University of TechnologyZhengzhou 450001P.R.China Department of MathematicsHainan UniversityHaikou 570228P.R.China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2023年第39卷第11期

页      面：2275-2282页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：National Natural Science Foundation of China(Grant No.12171142) 

主　　题：isomorphism problem normalized unit Frattini subgroup finite 2-group 

摘      要：Let p be a prime and F_p be a finite field of p *** F_(pG)denote the group algebra of the finite p-group G over the field F_(p)and V(F_(pG))denote the group of normalized units in F_(pG).Suppose that G and H are finite p-groups given by a central extension of the form 1→Z_(p)^(m)→G→Z_(p)×···×Z_(p)→1 and G ≌Z_(p),m≥*** V(F_(p)G)≌V(F_(p)H)if and only if G≌*** and Bovdi only solved the isomorphism problem when p is *** this paper,the case p=2 is determined.