On splitting of the normalizer of a maximal torus in linear groups
Alexey Galt
Abstract
Alexey Galt
Abstract
We describe linear groups over an algebraically closed field in which the normalizer of a maximal torus splits over the torus. We describe linear groups over a finite field and their maximal tori in which the normalizer of the maximal torus splits over the torus.
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We describe linear groups over an algebraically closed field in which the normalizer of a maximal torus splits over the torus. We describe linear groups over a finite field and their maximal tori in which the normalizer of the maximal torus splits over the torus.
Key concepts: Torus, Centralizer and normalizer, Mathematics, Maximal torus, Clifford torus, Field (mathematics), Pure mathematics, Combinatorics