On the p-solvability of the finite groups with a T.I. Sylow p-subgroup (Q1123973)
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scientific article; zbMATH DE number 4110925
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the p-solvability of the finite groups with a T.I. Sylow p-subgroup |
scientific article; zbMATH DE number 4110925 |
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On the p-solvability of the finite groups with a T.I. Sylow p-subgroup (English)
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1989
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The author extends the well-known result of W. Feit concerning the p- solvability of a finite group with cyclic Sylow p-subgroups to the following theorem. Let G be a finite group with a T.I. Sylow p-subgroup. Suppose that if \(p=3\) \((p=5)\) the group G has no composition factor isomorphic to \(L_ 2(8)\) (respectively, Sz(32)). If there exists a normal subgroup W of G such that p divides (\(| W|,| G/W|)\) then G is p-solvable.
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p-solvability
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T.I. Sylow p-subgroup
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