2014Journal of Algebra and Its ApplicationsRequires access

On splitting of the normalizer of a maximal torus in linear groups

Alexey Galt

Open publisher page 11 citations

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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What this paper is about

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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OpenAlex reports 11 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available 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.

Key concepts: Torus, Centralizer and normalizer, Mathematics, Maximal torus, Clifford torus, Field (mathematics), Pure mathematics, Combinatorics

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