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

被引：0

作者：

Murai, Masafumi

机构：

[1] not available, Izumi Toki-shi, Gifu, 509-5146

来源：

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN | 2013年 / 65卷 / 04期

关键词：

Alperin's weight conjecture; p-solvable groups; p-blocks; Green correspondence; NORMAL-SUBGROUPS; SIMPLE MODULES; CHARACTERS; VERTICES;

D O I：

10.2969/jmsj/06541037

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For p-solvable groups, a strong form of Alperin's weight conjecture has been proved by T. Okuyama (unpublished).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.

引用

页码：1037 / 1054

页数：18

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