Solvable irreducible linear groups of arbitrary degree with a Hall TI-subgroup (Q1813385)
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scientific article; zbMATH DE number 6218
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Solvable irreducible linear groups of arbitrary degree with a Hall TI-subgroup |
scientific article; zbMATH DE number 6218 |
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Solvable irreducible linear groups of arbitrary degree with a Hall TI-subgroup (English)
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25 June 1992
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The theorem of the present work provides an affirmative answer to the question of extending the theorems 1 and 2 from earlier work [Arithmetical and subgroup structure of finite groups, Minsk 1986, 181-207 (1986; Zbl 0592.20034)] like Itô's theorem to the case of a linear group \(G\) of arbitrary degree provided that \(| H|\) is odd, where \(H\) a Hall TI-subgroup of \(G\).
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Itô theorem
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linear groups
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Hall TI-subgroups
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