Real and strongly real classes in SL n ( q ) Nick Gill and Anupam Singh

نویسندگان

  • Nick Gill
  • Anupam Singh
چکیده

We classify the real and strongly real conjugacy classes in GLnðqÞ and SLnðqÞ. In each case we give a formula for the number of real, and the number of strongly real, conjugacy classes. This paper is the first of two that together classify the real and strongly real classes in GLnðqÞ, SLnðqÞ, PGLnðqÞ, PSLnðqÞ, and all quasi-simple covers of PSLnðqÞ.

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Real and strongly real classes in PGL n ( q ) and quasi - simple covers of PSL n ( q ) Nick Gill and

We classify the real and strongly real conjugacy classes in PGLnðqÞ, PSLnðqÞ, and all quasi-simple covers of PSLnðqÞ. In each case we give a formula for the number of real, and the number of strongly real, conjugacy classes. This is a companion paper to [4] in which we classified the real and strongly real conjugacy classes in GLnðqÞ and SLnðqÞ.

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The Open University ’ s repository of research publications and other research outputs Real and strongly real classes in

We classify the real and strongly real conjugacy classes in GLnðqÞ and SLnðqÞ. In each case we give a formula for the number of real, and the number of strongly real, conjugacy classes. This paper is the first of two that together classify the real and strongly real classes in GLnðqÞ, SLnðqÞ, PGLnðqÞ, PSLnðqÞ, and all quasi-simple covers of PSLnðqÞ.

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تاریخ انتشار 2010