Brauer characters and the Harris-Knorr correspondence in p-solvable groups

被引:6
作者
Laradji, A. [1 ]
机构
[1] King Saud Univ, Coll Sci, Dept Math, Riyadh 11451, Saudi Arabia
关键词
p-Solvable groups; Brauer character; p-Block; SEPARABLE GROUPS; NORMAL-SUBGROUPS; BLOCKS; VERTICES;
D O I
10.1016/j.jalgebra.2010.05.010
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
If b is a p-block of a normal subgroup N of a p-solvable group G and b* is its Brauer correspondent in N(N)(L), where L is a defect group of b, then Harris-Knorr correspondents over b and b. contain equal numbers of irreducible Brauer characters over height zero Brauer characters (C) 2010 Elsevier Inc All rights reserved
引用
收藏
页码:749 / 757
页数:9
相关论文
共 10 条
[1]  
Hammernik W., 1976, Mitt. Math. Sem. Giessen, V121, P147
[2]   BRAUER CORRESPONDENCE FOR COVERING BLOCKS OF FINITE-GROUPS [J].
HARRIS, ME ;
KNORR, R .
COMMUNICATIONS IN ALGEBRA, 1985, 13 (05) :1213-1218
[3]  
Isaacs I. M., 2006, CHARACTER THEORY FIN
[4]   WEIGHTS AND VERTICES FOR CHARACTERS OF PI-SEPARABLE GROUPS [J].
ISAACS, IM ;
NAVARRO, G .
JOURNAL OF ALGEBRA, 1995, 177 (02) :339-366
[5]   BLOCKS, VERTICES AND NORMAL SUBGROUPS [J].
KNORR, R .
MATHEMATISCHE ZEITSCHRIFT, 1976, 148 (01) :53-60
[6]  
NAGAO H, 1989, REPRESENTATIONS FINI
[7]  
Okuyama T., 1981, HOKKAIDO MATH J, V10, P299
[8]   PI-BLOCKS OF PI-SEPARABLE GROUPS .1. [J].
SLATTERY, MC .
JOURNAL OF ALGEBRA, 1986, 102 (01) :60-77
[9]   PI-BLOCKS OF PI-SEPARABLE GROUPS .2. [J].
SLATTERY, MC .
JOURNAL OF ALGEBRA, 1989, 124 (01) :236-269
[10]  
Watanabe A, 1996, OSAKA J MATH, V33, P629