On Alperin's weight conjecture for <i>p</i>-blocks of <i>p</i>-solvable groups

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  • On Alperin's weight conjecture for p-blocks of p-solvable groups

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Abstract

For p-solvable groups, a strong form of Alperin's weight conjecture has been proved by T. Okuyama (unpublished). L. Barker has refined this theorem by taking Green correspondence into account. We prove here a relative version of Barker's theorem.

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