Character degrees in blocks and defect groups

被引：3

作者：

Giannelli, Eugenio ^{[1
]}

Miquel Martinez, J. ^{[2
]}

Fry, A. A. Schaeffer ^{[3
]}

机构：

[1] Univ Dini, Dipartimento Matemat & Informat, Viale Morgagni 67-A, Florence, Italy

[2] Univ Valencia, Dept Matemat, Burjassot 46100, Spain

[3] Metropolitan State Univ Denver, Dept Math & Stat, Denver, CO 80217 USA

来源：

JOURNAL OF ALGEBRA | 2022年 / 594卷

基金：

美国国家科学基金会;

关键词：

Character degrees; Defect groups; Derived length; P-BLOCKS; FINITE; HEIGHTS; CONJECTURE; LENGTH;

D O I：

10.1016/j.jalgebra.2021.11.035

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A recent question of Gabriel Navarro asks whether it is true that the derived length of a defect group is less than or equal to the number of degrees of irreducible characters in a block. In this article, we bring new evidence towards the validity of this statement.(c) 2021 Elsevier Inc. All rights reserved.

引用

页码：170 / 193

页数：24

共 44 条

[1] Aschbacher M., 2000, FINITE GROUP THEORY
[2] FROBENIUS THEOREM FOR BLOCKS
BROUE, M
PUIG, L
[J]. INVENTIONES MATHEMATICAE, 1980, 56 (02) : 117 - 128
[3] Cabanes M., 2004, REPRESENTATION THEOR, V1
[4] Cabanes M, 2018, EMS SER LECT MATH, P179
[5] Carter R.W., 1985, FINITE GROUPS LIE TY, V44
[6] On heights of characters of finite groups
Feng, Zhicheng
Liu, Yanjun
Zhang, Jiping
[J]. JOURNAL OF ALGEBRA, 2020, 556 : 106 - 135
[7] Robinson's conjecture on heights of characters
Feng, Zhicheng
Li, Conghui
Liu, Yanjun
Malle, Gunter
Zhang, Jiping
[J]. COMPOSITIO MATHEMATICA, 2019, 155 (06) : 1098 - 1117
[8] FONG P, 1989, J REINE ANGEW MATH, V396, P122
[9] THE BLOCKS OF FINITE GENERAL LINEAR AND UNITARY GROUPS
FONG, P
SRINIVASAN, B
[J]. INVENTIONES MATHEMATICAE, 1982, 69 (01) : 109 - 153
[10] GROUPS WITH FEW p'-CHARACTER DEGREES IN THE PRINCIPAL BLOCK
Giannelli, Eugenio
Rizo, Noelia
Sambale, Benjamin
Fry, A. A. Schaeffer
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2020, 148 (11) : 4597 - 4614

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