Finite groups having at most 27 non-normal proper subgroups of non-prime-power order

Jiangtao Shi; Cui Zhang

doi:10.3336/gm.49.1.08

Finite groups having at most 27 non-normal proper subgroups of non-prime-power order

Jiangtao Shi
, Cui Zhang

Department of Applied Mathematics and Computer Science

Yantai University

Research output: Contribution to journal › Journal article › Research › peer-review

Abstract

We prove that any finite group having at most 27 non-normal proper subgroups of non-prime-power order is solvable except for G≅ A5, the alternating group of degree 5.

Original language	English
Journal	Glasnik Matematicki
Volume	49
Issue number	1
Pages (from-to)	105-111
ISSN	0017-095X
DOIs	https://doi.org/10.3336/gm.49.1.08
Publication status	Published - 2014

Keywords

Finite group
solvable group
subgroup of non-prime-power order

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title = "Finite groups having at most 27 non-normal proper subgroups of non-prime-power order",

abstract = "We prove that any finite group having at most 27 non-normal proper subgroups of non-prime-power order is solvable except for G≅ A5, the alternating group of degree 5. ",

keywords = "Finite group, solvable group, subgroup of non-prime-power order",

author = "Jiangtao Shi and Cui Zhang",

year = "2014",

doi = "10.3336/gm.49.1.08",

language = "English",

volume = "49",

pages = "105--111",

journal = "Glasnik Matematicki",

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T1 - Finite groups having at most 27 non-normal proper subgroups of non-prime-power order

AU - Shi, Jiangtao

AU - Zhang, Cui

PY - 2014

Y1 - 2014

N2 - We prove that any finite group having at most 27 non-normal proper subgroups of non-prime-power order is solvable except for G≅ A5, the alternating group of degree 5.

AB - We prove that any finite group having at most 27 non-normal proper subgroups of non-prime-power order is solvable except for G≅ A5, the alternating group of degree 5.

KW - Finite group

KW - solvable group

KW - subgroup of non-prime-power order

U2 - 10.3336/gm.49.1.08

DO - 10.3336/gm.49.1.08

M3 - Journal article

SN - 0017-095X

VL - 49

SP - 105

EP - 111

JO - Glasnik Matematicki

JF - Glasnik Matematicki

IS - 1

ER -

Finite groups having at most 27 non-normal proper subgroups of non-prime-power order

Abstract

Keywords

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