Title : ( Computing the non-abelian tensor square of general linear groups )
Authors: Ahmad Erfanian , Hadi Jafari , bagher rezaei ,
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Abstract
The aim of this paper is to consider an open problem which was posed by R. Brown, D.L. Johnson and E.F. Robertson (1987) in [4]. The problem is to determine the non-abelian tensor square Gotimes G for the group GL(n,q) and other linear groups. Later, T. Hannebauer (1990) in [5] computed tensor square of groups SL(2,q), PSL(2,q), GL(2,q) and PGL(2,q) for allgeqslant 5 and qneq 9. In this article we will improve the results given in [5] to all linear groups SL(n,q), PSL(n,q), GL(n,q) and PGL(n,q) except for some small values of (n,q)
Keywords
, Nonabelian tensor square, general linear group, Schur multiplier
@article{paperid:1009482,
author = {Erfanian, Ahmad and Jafari, Hadi and Rezaei, Bagher},
title = {Computing the non-abelian tensor square of general linear groups},
journal = {Italian Journal of Pure and Applied Mathematics},
year = {2008},
volume = {24},
month = {January},
issn = {1126-8042},
pages = {203--210},
numpages = {7},
keywords = {Nonabelian tensor square; general linear group; Schur multiplier},
}
%0 Journal Article
%T Computing the non-abelian tensor square of general linear groups
%A Erfanian, Ahmad
%A Jafari, Hadi
%A Rezaei, Bagher
%J Italian Journal of Pure and Applied Mathematics
%@ 1126-8042
%D 2008
