Affine algebraic groups with periodic components

Details Affine algebraic groups with periodic components Affine algebraic groups with periodic components

2008-06-12

arxiv.org/abs/0806.2130v1

Mathematics

Algebraic Geometry

20 pages

Scientific paper

A connected component of an affine algebraic group is called periodic if all its elements have finite order. We give a characterization of periodic components in terms of automorphisms with finite number of fixed points. It is also discussed which connected groups have finite extensions with periodic components. The results are applied to the study of the normalizer of a maximal torus in a simple algebraic group.

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