Finite groups have local non-Schur centralizers (Q1313574)
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scientific article; zbMATH DE number 492801
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finite groups have local non-Schur centralizers |
scientific article; zbMATH DE number 492801 |
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Finite groups have local non-Schur centralizers (English)
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11 September 1995
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Using the classification of the finite simple groups the authors prove the following theorem: If \(G\) is a finite group of order divisible by the prime \(p\) then \(G\) contains a \(p\)-singular element \(g\) whose \(p\)-part is not contained in the commutator subgroup of \(C_ G(g)\).
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Donald-Flanigan conjecture
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centralizers
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finite groups
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\(p\)-singular elements
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\(p\)-parts
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commutator subgroup
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