2-BLOCKS WITH MINIMAL NONABELIAN DEFECT GROUPS III

被引：5

作者：

Sambale, Benjamin ^{[1
]}

机构：

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

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2016年 / 280卷 / 02期

关键词：

minimal nonabelian defect groups; perfect isometries; isotypies; HEIGHT ZERO; CHARACTERS; BLOCKS; NUMBER;

D O I：

10.2140/pjm.2016.280.475

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that two 2-blocks of (possibly different) finite groups with a common minimal nonabelian defect group and the same fusion system are isotypic (and therefore perfectly isometric) in the sense of Broue. This continues former work by Cabanes and Picaronny (J. Fac. Sci. Univ. Tokyo Sect. IA Math. 39: 1 (1992), 141-161), Sambale (J. Algebra 337 (2011), 261-284) and Eaton et al. (J. Group Theory 15: 3 (2012), 311-321).

引用

页码：475 / 487

页数：13

共 49 条

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[49] 3-Blocks with Abelian defect groups isomorphic to \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$Z_{3^m } \times Z_{3^n } $\end{document}
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