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Fixed point spaces in actions of exceptional algebraic groups.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Published
  • Ross Lawther
  • Martin W. Liebeck
  • Gary M. Seitz
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<mark>Journal publication date</mark>2002
<mark>Journal</mark>Pacific Journal of Mathematics
Issue number2
Volume205
Number of pages53
Pages (from-to)339-391
Publication StatusPublished
<mark>Original language</mark>English

Abstract

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.