On weights and intersections of p-subgroups

Baoshan Wang; Lizhong Wang

doi:10.1142/S1005386712000211

On weights and intersections of p-subgroups

Baoshan Wang^*
, Lizhong Wang

^*此作品的通讯作者

数学科学学院

Peking University

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

Let B be a p-block of a finite group G over F and (Q, S) a weight of B. In this paper, we show that Q must be an intersection of two Sylow p-subgroups of G and Q must also be contained in the intersection of two defect groups of B.

源语言	英语
页（从-至）	333-336
页数	4
期刊	Algebra Colloquium
卷	19
期	2
DOI	https://doi.org/10.1142/S1005386712000211
出版状态	已出版 - 6月 2012

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title = "On weights and intersections of p-subgroups",

abstract = "Let B be a p-block of a finite group G over F and (Q, S) a weight of B. In this paper, we show that Q must be an intersection of two Sylow p-subgroups of G and Q must also be contained in the intersection of two defect groups of B.",

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AB - Let B be a p-block of a finite group G over F and (Q, S) a weight of B. In this paper, we show that Q must be an intersection of two Sylow p-subgroups of G and Q must also be contained in the intersection of two defect groups of B.

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KW - defect group

KW - weight

UR - https://www.scopus.com/pages/publications/84859537641

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DO - 10.1142/S1005386712000211

M3 - 文章

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On weights and intersections of p-subgroups

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