Real and strongly real classes in PGLn(q) and quasi-simple covers of PSLn(q)

Gill, Nick; SINGH, ANUPAM KUMAR

Real and strongly real classes in PGLn(q) and quasi-simple covers of PSLn(q)

Gill, Nick; SINGH, ANUPAM KUMAR

URI: http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/1851 https://doi.org/10.1515/jgt.2010.055 Date: 2011-05

Abstract:

We classify the real and strongly real conjugacy classes in PGLn(q), PSLn(q), and all quasi-simple covers of PSLn(q). 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 [Gill and Singh, J. Group Theory 14: 2011] in which we classified the real and strongly real conjugacy classes in GLn(q) and SLn(q).

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