Fixed point ratios in actions of finite classical groups, II
This is the second in a series of four papers on fixed point ratios in non-subspace actions of finite classical groups. Our main result states that if G is a finite almost simple classical group and ? is a faithful transitive non-subspace G-set then either fpr(x) ~< |xG|-1/2 for all elements x?G...
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| Format: | Article |
| Language: | English |
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2007-03-01.
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| Online Access: | Get fulltext |
| LEADER | 00924 am a22001213u 4500 | ||
|---|---|---|---|
| 001 | 46631 | ||
| 042 | |a dc | ||
| 100 | 1 | 0 | |a Burness, Timothy C. |e author |
| 245 | 0 | 0 | |a Fixed point ratios in actions of finite classical groups, II |
| 260 | |c 2007-03-01. | ||
| 856 | |z Get fulltext |u https://eprints.soton.ac.uk/46631/1/tcb4.pdf | ||
| 520 | |a This is the second in a series of four papers on fixed point ratios in non-subspace actions of finite classical groups. Our main result states that if G is a finite almost simple classical group and ? is a faithful transitive non-subspace G-set then either fpr(x) ~< |xG|-1/2 for all elements x?G of prime order, or (G,?) is one of a small number of known exceptions. In this paper we record a number of preliminary results and prove the main theorem in the case where the stabiliser G? is contained in a maximal non-subspace subgroup which lies in one of the Aschbacher families ?i, where 4?i?8. | ||
| 655 | 7 | |a Article | |