Title : ( The nonabelian tensor square (G⊗G) of symplectic groups and projective symplectic groups )
Authors: S. Rashid , N. H. Sarmin , Ahmad Erfanian , N. M. Mohd Ali ,
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Abstract
The determination of G⊗G for linear groups was mentioned as an open problem by Brown et al. (1987). Hannebauer focused on the nonabelian tensor square of SL(2, q), PSL(2, q), GL(2, q) and PGL(2, q) for all q ≥ 5 and q = 9 in a contribution of 1990. The aim of this paper is to determine the nonabelian tensor square G⊗G for these groups up to isomorphism by the use of the commutator subgroup and Schur multiplier
Keywords
, commutator subgroup, Schur multiplier, nonabelian tensor square
@article{paperid:1026360,
author = {S. Rashid and N. H. Sarmin and Erfanian, Ahmad and N. M. Mohd Ali},
title = {The nonabelian tensor square (G⊗G) of symplectic groups and projective symplectic groups},
journal = {Scientific Research and Essays},
year = {2011},
volume = {6},
number = {24},
month = {October},
issn = {1992-2248},
pages = {5261--5264},
numpages = {3},
keywords = {commutator subgroup; Schur multiplier; nonabelian tensor square},
}
%0 Journal Article
%T The nonabelian tensor square (G⊗G) of symplectic groups and projective symplectic groups
%A S. Rashid
%A N. H. Sarmin
%A Erfanian, Ahmad
%A N. M. Mohd Ali
%J Scientific Research and Essays
%@ 1992-2248
%D 2011
