On the lifting theory of finite groups of Lie type (Q759834)
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scientific article; zbMATH DE number 3882630
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the lifting theory of finite groups of Lie type |
scientific article; zbMATH DE number 3882630 |
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On the lifting theory of finite groups of Lie type (English)
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1984
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Let G be a connected reductive algebraic group defined over a finite field having q elements. Let F be a corresponding Frobenius endomorphism and let \(G(q^ m)=\{g\in G: F^ m(g)=g\}\) be a finite group of Lie type where m is a positive integer. The paper is devoted to lifting theory of these finite groups, in particular to lifting theory of \(G_ 2(q)\) and certain principal series representation of groups of adjoint type.
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connected reductive algebraic group
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Frobenius endomorphism
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finite group of Lie type
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lifting theory
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principal series representation
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