On hall subnormally embedded subgroups of finite groups

Adolfo Ballester-Bolinches; John Cossey; Shou Hong Qiao

doi:10.1007/s00605-015-0838-0

On hall subnormally embedded subgroups of finite groups

Adolfo Ballester-Bolinches, John Cossey, Shou Hong Qiao^*

^*Corresponding author for this work

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

9 Citations (Scopus)

Abstract

A subgroup H of a finite group G is said to be Hall subnormally (respectively normally) embedded in G if there is a subnormal (respectively normal) subgroup N of G such that H is a Hall subgroup of N. The aim of this paper is to characterise the groups G having a Hall subnormally embedded subgroup of order |B| for each subgroup B of G. Some earlier results are consequences of our main theorem.

Original language	English
Pages (from-to)	753-760
Number of pages	8
Journal	Monatshefte fur Mathematik
Volume	181
Issue number	4
DOIs	https://doi.org/10.1007/s00605-015-0838-0
Publication status	Published - 1 Dec 2016

Access to Document

10.1007/s00605-015-0838-0

Cite this

@article{909ec007462243d49ff5180fe0e47185,

title = "On hall subnormally embedded subgroups of finite groups",

abstract = "A subgroup H of a finite group G is said to be Hall subnormally (respectively normally) embedded in G if there is a subnormal (respectively normal) subgroup N of G such that H is a Hall subgroup of N. The aim of this paper is to characterise the groups G having a Hall subnormally embedded subgroup of order |B| for each subgroup B of G. Some earlier results are consequences of our main theorem.",

keywords = "Finite group, Hall subgroup, Soluble group, Subnormal subgroup",

author = "Adolfo Ballester-Bolinches and John Cossey and Qiao, \{Shou Hong\}",

note = "Publisher Copyright: {\textcopyright} 2015, Springer-Verlag Wien.",

year = "2016",

month = dec,

day = "1",

doi = "10.1007/s00605-015-0838-0",

language = "English",

volume = "181",

pages = "753--760",

journal = "Monatshefte fur Mathematik",

issn = "0026-9255",

publisher = "Springer",

number = "4",

}

TY - JOUR

T1 - On hall subnormally embedded subgroups of finite groups

AU - Ballester-Bolinches, Adolfo

AU - Cossey, John

AU - Qiao, Shou Hong

PY - 2016/12/1

Y1 - 2016/12/1

N2 - A subgroup H of a finite group G is said to be Hall subnormally (respectively normally) embedded in G if there is a subnormal (respectively normal) subgroup N of G such that H is a Hall subgroup of N. The aim of this paper is to characterise the groups G having a Hall subnormally embedded subgroup of order |B| for each subgroup B of G. Some earlier results are consequences of our main theorem.

AB - A subgroup H of a finite group G is said to be Hall subnormally (respectively normally) embedded in G if there is a subnormal (respectively normal) subgroup N of G such that H is a Hall subgroup of N. The aim of this paper is to characterise the groups G having a Hall subnormally embedded subgroup of order |B| for each subgroup B of G. Some earlier results are consequences of our main theorem.

KW - Finite group

KW - Hall subgroup

KW - Soluble group

KW - Subnormal subgroup

UR - https://www.scopus.com/pages/publications/84947915843

U2 - 10.1007/s00605-015-0838-0

DO - 10.1007/s00605-015-0838-0

M3 - Article

SN - 0026-9255

VL - 181

SP - 753

EP - 760

JO - Monatshefte fur Mathematik

JF - Monatshefte fur Mathematik

IS - 4

ER -

On hall subnormally embedded subgroups of finite groups

Abstract

Access to Document

Other files and links

Fingerprint

Cite this