Real and strongly real classes in PGL_n(q) and quasi-simple covers of PSL_n(q)

Gill, Nick and Singh, Anupam (2011). Real and strongly real classes in PGL_n(q) and quasi-simple covers of PSL_n(q). Journal of Group Theory, 14(3) pp. 461–489.

DOI: https://doi.org/10.1515/JGT.2010.055

Abstract

We classify the real and strongly real conjugacy classes in PGL_n(q), PSL_n(q) and all quasi-simple covers of PSL_n(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, May 2011, 14:3, pp.437-459] in which we classified the real and strongly real conjugacy classes in GL_n(q) and SL_n(q).

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