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Real and strongly real classes in SLn(q)
-
Nick Gill
und
Anupam Singh
Veröffentlicht/Copyright:
13. Oktober 2010
Abstract
We classify the real and strongly real conjugacy classes in GLn(q) and SLn(q). 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 GLn(q), SLn(q), PGLn(q), PSLn(q), and all quasi-simple covers of PSLn(q).
Received: 2009-01-20
Revised: 2010-06-12
Published Online: 2010-10-13
Published in Print: 2011-May
© de Gruyter 2011
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Artikel in diesem Heft
- On Lyndon's equation in some Λ-free groups and HNN extensions
- On triple factorizations of finite groups
- Approximation of automorphisms of the rationals and the random graph
- Bass–Serre theory and counting rank two amalgams
- Rational defect groups and 2-rational characters
- The imprimitive faithful complex characters of the Schur covers of the symmetric and alternating groups
- Real and strongly real classes in SLn(q)
- Real and strongly real classes in PGLn(q) and quasi-simple covers of PSLn(q)
Artikel in diesem Heft
- On Lyndon's equation in some Λ-free groups and HNN extensions
- On triple factorizations of finite groups
- Approximation of automorphisms of the rationals and the random graph
- Bass–Serre theory and counting rank two amalgams
- Rational defect groups and 2-rational characters
- The imprimitive faithful complex characters of the Schur covers of the symmetric and alternating groups
- Real and strongly real classes in SLn(q)
- Real and strongly real classes in PGLn(q) and quasi-simple covers of PSLn(q)
