Abstract
Let G be a simple classical algebraic group over an algebraically closed field K of characteristic p, and let H be a maximal closed non-subspace subgroup of G. Given such a pair (G,H), we obtain a close to best possible upper bound for the ratio dim (x^G n H) / dim (x^G), where x is a semisimple or unipotent element in G of prime order. We apply this result to the study of fixed point spaces.
Original language | English |
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Pages (from-to) | 311-346 |
Number of pages | 36 |
Journal | Journal of Group Theory |
Volume | 7 |
DOIs | |
Publication status | Published - 2004 |