On sylow intersection conjugacy classes

Baoshan Wang

On sylow intersection conjugacy classes

Baoshan Wang^*

^*Corresponding author for this work

School of Mathematical Sciences

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

1 Scopus citations

Abstract

Suppose that G is a finite group and p is a prime such that p||G|. This paper studies the group invariant n_p(G), the number of G-orbits of Sylow intersections, which plays an important role in the research of block theory and indecomposable modules of finite groups. The paper shows some properties for finite groups with n_p(G) = 2, in particular, it gives some necessary and sufficient conditions which show when a finite group G with n_p(G) =2 has the unique maximal normal p-subgroup as an intersection of two distinct Sylow p-subgroups.

Original language	English
Pages (from-to)	21-26
Number of pages	6
Journal	Beijing Daxue Xuebao (Ziran Kexue Ban)/Acta Scientiarum Naturalium Universitatis Pekinensis
Volume	41
Issue number	1
State	Published - Jan 2005

Keywords

Block
Maximal normal p-subgroup
Sylow intersection

Cite this

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abstract = "Suppose that G is a finite group and p is a prime such that p||G|. This paper studies the group invariant np(G), the number of G-orbits of Sylow intersections, which plays an important role in the research of block theory and indecomposable modules of finite groups. The paper shows some properties for finite groups with np(G) = 2, in particular, it gives some necessary and sufficient conditions which show when a finite group G with np(G) =2 has the unique maximal normal p-subgroup as an intersection of two distinct Sylow p-subgroups.",

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N2 - Suppose that G is a finite group and p is a prime such that p||G|. This paper studies the group invariant np(G), the number of G-orbits of Sylow intersections, which plays an important role in the research of block theory and indecomposable modules of finite groups. The paper shows some properties for finite groups with np(G) = 2, in particular, it gives some necessary and sufficient conditions which show when a finite group G with np(G) =2 has the unique maximal normal p-subgroup as an intersection of two distinct Sylow p-subgroups.

AB - Suppose that G is a finite group and p is a prime such that p||G|. This paper studies the group invariant np(G), the number of G-orbits of Sylow intersections, which plays an important role in the research of block theory and indecomposable modules of finite groups. The paper shows some properties for finite groups with np(G) = 2, in particular, it gives some necessary and sufficient conditions which show when a finite group G with np(G) =2 has the unique maximal normal p-subgroup as an intersection of two distinct Sylow p-subgroups.

KW - Block

KW - Maximal normal p-subgroup

KW - Sylow intersection

UR - https://www.scopus.com/pages/publications/13944267891

M3 - 文章

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SN - 0479-8023

VL - 41

SP - 21

EP - 26

JO - Beijing Daxue Xuebao (Ziran Kexue Ban)/Acta Scientiarum Naturalium Universitatis Pekinensis

JF - Beijing Daxue Xuebao (Ziran Kexue Ban)/Acta Scientiarum Naturalium Universitatis Pekinensis

IS - 1

ER -

On sylow intersection conjugacy classes

Abstract

Keywords

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