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

^*Corresponding author for this work

School of Mathematical Sciences

Peking University

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	246-249
Number of pages	4
Journal	Journal of Algebra
Volume	341
Issue number	1
DOIs	https://doi.org/10.1016/j.jalgebra.2011.05.034
State	Published - 1 Sep 2011

Keywords

Defect group
P-Local rank
T.I. set

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10.1016/j.jalgebra.2011.05.034

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abstract = "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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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.

KW - Defect group

KW - P-Local rank

KW - T.I. set

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

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DO - 10.1016/j.jalgebra.2011.05.034

M3 - 文章

AN - SCOPUS:79960603432

SN - 0021-8693

VL - 341

SP - 246

EP - 249

JO - Journal of Algebra

JF - Journal of Algebra

IS - 1

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On non-intersections of p-subgroups

Abstract

Keywords

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