On the control of fusion in the local category for the p-block with a minimal nonabelian defect gro

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：wangnayangyang

【摘要】

：

If B is a p-block of a finite group G with a minimal nonabelian defect group D (p is an odd prime number) and (D, b D ) is a Sylow B-subpair of G, then N G (D,

【作者】

：

YANG Sheng GAO Sheng

【机构】

：

SchoolofMathematicalSciences

【出处】

：

中国科学：数学英文版

【发表日期】

：

2011年2期

【关键词】

：

分类控制阿贝尔缺陷 SYLOW 注册商标共轭类奇素数有限群 defect group subpair control of fusion Bra

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If B is a p-block of a finite group G with a minimal nonabelian defect group D (p is an odd prime number) and (D, b D ) is a Sylow B-subpair of G, then N G (D, b D ) controls B-fusion of G in most cases. This result is of great importance, because we can

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On the control of fusion in the local category for the p-block with a minimal nonabelian defect gro

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