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  • 标题:The nonabelian tensor square (GG) of symplectic groups and projective symplectic groups
  • 本地全文:下载
  • 作者:S. Rashid ; N. H. Sarmin ; A. Erfanian
  • 期刊名称:Scientific Research and Essays
  • 印刷版ISSN:1992-2248
  • 出版年度:2011
  • 卷号:6
  • 期号:24
  • 页码:5261-5264
  • DOI:10.5897/SRE11.1292
  • 语种:English
  • 出版社:Academic Journals
  • 摘要: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.
  • 关键词:2000 mathematics subject classification; Primary; 20J99; secondary; 20J06; 19C09;  and phrases; commutator subgroup; Schur multiplier; nonabelian tensor square
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