On non-intersections of p-subgroups

Baoshan Wang; Lizhong Wang; Jiping Zhang

doi:10.1016/j.jalgebra.2011.05.034

On non-intersections of p-subgroups

Baoshan Wang^*
, Lizhong Wang
, Jiping Zhang

^*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

In this paper, we investigate subgroups of a given finite group which are not contained in any intersection of two different conjugates of another subgroup. Then we are able to provide a characterization of Sylow p-subgroups which are T.I. sets and some further properties of defect groups of a conjugacy class appearing in a primitive central idempotent.

源语言	英语
页（从-至）	246-249
页数	4
期刊	Journal of Algebra
卷	341
期	1
DOI	https://doi.org/10.1016/j.jalgebra.2011.05.034
出版状态	已出版 - 1 9月 2011

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10.1016/j.jalgebra.2011.05.034

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AB - In this paper, we investigate subgroups of a given finite group which are not contained in any intersection of two different conjugates of another subgroup. Then we are able to provide a characterization of Sylow p-subgroups which are T.I. sets and some further properties of defect groups of a conjugacy class appearing in a primitive central idempotent.

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KW - P-Local rank

KW - T.I. set

UR - https://www.scopus.com/pages/publications/79960603432

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On non-intersections of p-subgroups

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