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
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
收藏
页码:170 / 193
页数:24
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