On the construction of irreducible characters in p-blocks with normal metacyclic defect groups

被引：0

作者：

Sheng Gao

机构：

[1] University of Science and Technology of China,Department of Mathematics

来源：

Science China Mathematics | 2012年 / 55卷

关键词：

characters; blocks; metacyclic groups; defect groups; 20C20;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The author carries out a detailed study of p-blocks with normal metacyclic defect groups provided that p is odd and the defect groups are splitting and nonabelian. In particular, the author constructs all the irreducible ordinary and modular characters in this type of blocks. As a by-product, k(B) and l(B) are obtained.

引用

页码：1179 / 1188

页数：9

共 18 条

[1] On the construction of irreducible characters in p-blocks with normal metacyclic defect groups
GAO Sheng Department of Mathematics
Science China(Mathematics), 2012, 55 (06) : 1179 - 1188
[2] On the construction of irreducible characters in p-blocks with normal metacyclic defect groups
Gao Sheng
SCIENCE CHINA-MATHEMATICS, 2012, 55 (06) : 1179 - 1188
[3] Isotypies for p-blocks with non-abelian metacyclic defect groups, p odd
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Watanabe, Atumi
JOURNAL OF ALGEBRA, 2019, 535 : 251 - 285
[4] On p-blocks of symmetric and alternating groups with all irreducible Brauer characters of prime power degree
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JOURNAL OF ALGEBRA, 2008, 320 (06) : 2405 - 2421
[5] Blocks of full defect with nonabelian metacyclic defect groups
Gao, Sheng
ARCHIV DER MATHEMATIK, 2012, 98 (01) : 1 - 12
[6] Blocks of full defect with nonabelian metacyclic defect groups
Sheng Gao
Archiv der Mathematik, 2012, 98 : 1 - 12
[7] On Brauer’s k(B)-problem for blocks with metacyclic defect groups of odd order
Sheng Gao
Archiv der Mathematik, 2011, 96 : 507 - 512
[8] On Brauer's k(B)-problem for blocks with metacyclic defect groups of odd order
Gao, Sheng
ARCHIV DER MATHEMATIK, 2011, 96 (06) : 507 - 512
[9] On Olsson's conjecture for blocks with metacyclic defect groups of odd order
Yang, Sheng
ARCHIV DER MATHEMATIK, 2011, 96 (05) : 401 - 408
[10] On Olsson’s conjecture for blocks with metacyclic defect groups of odd order
Sheng Yang
Archiv der Mathematik, 2011, 96 : 401 - 408

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