On restriction of characters to defect groups

被引：1

作者：

Giannelli, Eugenio ^{[1
]}

Sambale, Benjamin ^{[2
]}

机构：

[1] Univ Cambridge, Trinity Hall, Trinity Lane, Cambridge CB2 1TJ, England

[2] TU Kaiserslautern, Fachbereich Math, D-67653 Kaiserslautern, Germany

来源：

JOURNAL OF ALGEBRA | 2020年 / 558卷

关键词：

Character restrictions; Defect groups; ALTERNATING GROUPS; NUMBERS; BLOCKS;

D O I：

10.1016/j.jalgebra.2019.07.011

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We put forward a blockwise version of a recent conjecture of [6] on finite groups. Let B be a p-block of a finite group G with defect group D. Let chi is an element of Irr(B) be a character with positive height. In this note we conjecture that the number of distinct linear constituents of the restriction chi(D) is 0 or at least p. We prove that this is indeed the case for various classes of finite groups and p-blocks. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：423 / 433

页数：11

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