Finite Groups with Some Subgroups of Given Order-Reference-Cited by-同舟云学术

Finite Groups with Some Subgroups of Given Order

Published:2013-07-04 Issue:03 Volume:20 Page:457-462
ISSN:1005-3867
Container-title:Algebra Colloquium
language:en
Short-container-title:Algebra Colloq.

Author:

Shi Jiangtao¹,Zhang Cui¹²,Liang Dengfeng³

Affiliation:

1. School of Mathematics and Information Science, Yantai University, Yantai, Shandong 264005, China

2. University of Primorska, IAM, Muzejski trg 2, 6000 Koper, Slovenia

3. Department of Mathematics, Beijing Technology and Business University, Beijing 100048, China

Abstract

Let [Formula: see text] be the class of groups of non-prime-power order or the class of groups of prime-power order. In this paper we give a complete classification of finite non-solvable groups with a quite small number of conjugacy classes of [Formula: see text]-subgroups or classes of [Formula: see text]-subgroups of the same order.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1005386713000436

Reference9 articles.

1. The classification of minimal non-prime-power order groups

2. On finite simple groups of order divisible by three primes only

3. Finite groups with few non-cyclic subgroups

4. On finite insoluble groups with nilpotent maximal subgroups

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1. On the number of same order classes of non-abelian subgroups of a finite group;Journal of Algebra and Its Applications;2020-11-05

2. Finite groups having at most 27 non-normal proper subgroups of non-prime-power order;Glasnik Matematicki;2014-06-08