Open Access Open Access  Restricted Access Subscription Access

A Note on the Nonabelian Tensor Square


Affiliations
1 Department of Mathematics, Islamic Azad University, Firoozkooh, Iran, Islamic Republic of
2 Department of Mathematical Sciences, Universiti Teknologi Malaysia, Johor, Malaysia
3 Department of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran, Islamic Republic of
 

In this paper, we determine the nonabelian tensor square G⊗G for special orthogonal groups SOn (Fq) and spin groups Spinn (Fq), where Fq is a field with q elements

Keywords

Special Orthogonal Group, Spin Group, Nonabelian Tensor Square
User

  • Brown R, Johnson DL and Robertson EF (1987) Some computations of nonabelian tensor products of groups. J. Algebra.11, 177-202.
  • Brown R and Loday JL (1984) Excision homotopique en basse dimension. C. R. Acad. Sci. Paris Ser. I Math. 298, 353-356.
  • Brown R and Loday JL (1987) Van Kampen theorems for diagrams of spaces. Topology. 26, 311-335.
  • Erfanian A, Rezaei A and Jafari SH (2008) Computing the nonabelian tensor square of general linear groups. Italian J. Pure & Appl. Math. 24, 203-210.
  • Kappe LC (1999) Non abelian tensor products of groups, the commutator connection. Proceedings Groups St Andrews at Bath 1997, Lecture Notes LMS. 261, 447-454.
  • Hannebauer T (1990) On nonabelian tensor square of linear groups. Arch. Math. 55, 30-34.
  • Karpilovsky G (1987) The schur multiplier, Clarendon Press, Oxford.
  • Rashid S, Sarmin NH, Erfanian A and Mohd Ali NM (2011a) The nonabelian tensor square (G ⊗G) of symplectic groups and projective symplectic groups. Scientific Res. Essays. 6(24), 5261-5264.
  • Rashid S, Sarmin NH, Erfanian A and Mohd Ali NM (2011b) On the nonabelian tensor square and capability of groups of order p2q. Arch. Math. 97, 299-306.
  • Steinberg R (1968) Lectures on chevalley groups, mimeographed lecture notes. Yale University Notes, New Haven.
  • Wilson RA (2010) The finite simple groups. In: Graduate Texts in Maths. Springer London Dordrecht Heidelberg NY.
  • Whitehead JHC (1950) A certain exact sequence. Ann. Math. 52, 51-110.

Abstract Views: 411

PDF Views: 102




  • A Note on the Nonabelian Tensor Square

Abstract Views: 411  |  PDF Views: 102

Authors

S. Rashid
Department of Mathematics, Islamic Azad University, Firoozkooh, Iran, Islamic Republic of
N. H. Sarmin
Department of Mathematical Sciences, Universiti Teknologi Malaysia, Johor, Malaysia
R. Zainal
Department of Mathematical Sciences, Universiti Teknologi Malaysia, Johor, Malaysia
N. M. Mohd Ali
Department of Mathematical Sciences, Universiti Teknologi Malaysia, Johor, Malaysia
A. Erfanian
Department of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran, Islamic Republic of

Abstract


In this paper, we determine the nonabelian tensor square G⊗G for special orthogonal groups SOn (Fq) and spin groups Spinn (Fq), where Fq is a field with q elements

Keywords


Special Orthogonal Group, Spin Group, Nonabelian Tensor Square

References





DOI: https://doi.org/10.17485/ijst%2F2012%2Fv5i6%2F30479