Fixed point ratios in actions of finite classical groups, III
<p>This is the third in a series of four papers on fixed point ratios for non-subspace actions of finite classical groups. Our main result states that if <em>G</em> is a finite almost simple classical group and <em>Ω</em> is a faithful transitive non-subspace <em>...
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| Μορφή: | Journal article |
| Γλώσσα: | English |
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Elsevier
2007
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| Θέματα: |
| Περίληψη: | <p>This is the third in a series of four papers on fixed point ratios for non-subspace actions of finite classical groups. Our main result states that if <em>G</em> is a finite almost simple classical group and <em>Ω</em> is a faithful transitive non-subspace <em>G</em>-set then either fpr(<em>x</em>)&lesssim;|<em>x</em><sup><em>G</em></sup>|<sup>−1/2</sup> for all elements <em>x</em> ∈ <em>G</em> of prime order, or (<em>G, Ω</em>) is one of a small number of known exceptions. In this paper we consider the case where <em>G<sub>ω</sub></em> is contained in one of the Aschbacher families <em>C</em><sub>2</sub> or <em>C</em><sub>3</sub>.</p> |
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