The nonabelian tensor square (GG) of symplectic groups and projective symplectic groups

Scientific Research and Essays

S. Rashid¹ 

关键词:  ;    2000 mathematics subject classification;    Primary;    20J99;    secondary;    20J06;    19C09;     ;    and phrases;    commutator subgroup;    Schur multiplier;    nonabelian tensor square.;   

DOI  :  10.5897/SRE11.1292

学科分类：社会科学、人文和艺术（综合）

来源: Academic Journals

【 摘 要 】

The determination ofG⊗G for linear groups was mentioned as an open problem by Brown et al. (1987). Hannebauer focused on the nonabelian tensor square ofSL(2, q), PSL(2, q), GL(2, q) andPGL(2, q) for allq≥ 5 andq= 9 in a contribution of 1990. The aim of this paper is to determine the nonabelian tensor squareG⊗Gfor these groups up to isomorphism by the use of the commutator subgroup and Schur multiplier.

【 授权许可】

CC BY