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arxiv: 0809.4412 · v2 · submitted 2008-09-25 · 🧮 math.GR

Real and strongly real classes in finite linear groups

classification 🧮 math.GR
keywords realclassesstronglyconjugacynumbercaseclassifycovers
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We classify the real and strongly real conjugacy classes in $GL_n(q)$, $SL_n(q)$, $PGL_n(q)$, $PSL_n(q)$, 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.

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