On Alperin's fusion theorem (Q1339973)

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scientific article; zbMATH DE number 702459
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English
On Alperin's fusion theorem
scientific article; zbMATH DE number 702459

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    On Alperin's fusion theorem (English)
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    12 December 1994
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    The author gives a graph theoretical interpretation of Alperin's known theorem on the fusion of \(p\)-elements in a finite group and its variations by Alperin, Gorenstein and Goldschmidt. Then he uses this interpretation to give a simple proof of a result generalizing all theorems mentioned.
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    Alperin's fusion theorem
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    fusion of \(p\)-elements
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    finite group
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