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“School of Mathematics”

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Paper   IPM / M / 63
School of Mathematics
  Title:   Equivalence classes of matrices in GL2(q) and SL2(q)
  Author(s): 
1 . M. R. Darafsheh
2 . F. Nowroozi Larki
  Status:   Published
  Journal: Korean J. Comput. Appl. Math.
  No.:  2
  Vol.:  6
  Year:  1999
  Pages:   331-344
  Supported by:  IPM
  Abstract:
Let G denote either of the groups GL2(q) or SL2(q). The mapping θ sending a matrix to its transpose-inverse is an automophism of G and therefore we can form the group G+=G. < θ > . In this paper conjugacy classes of elements in G+G are found. These classes are closely related to the congruence classes of invertible matrices in G.

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