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Fixed point spaces in
actions of exceptional algebraic groups
Ross Lawther, Martin W. Liebeck and Gary M. Seitz |
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Vol. 205 (2002), No. 2, 339–391
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Abstract |
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Let G be a simple algebraic group of exceptional type acting transitively on an algebraic variety. We provide estimates for the dimensions of the subvarieties of fixed points of elements of G. These translate into estimates for the dimensions of intersections of conjugacy classes of G with closed subgroups. |
Milestones
Received: 10 October 2000
Revised: 26 September 2001
Published: 1 August 2002
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Authors |
| Ross Lawther | |
| Lancaster University Lancaster LA1 4YF England |
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| Martin W. Liebeck | |
| Department of Mathematics Imperial College London SW7 2BZ England |
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| Gary M. Seitz | |
| Department of Mathematics University of Oregon Eugene, OR 97403 |
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