Open Access
October 2018 The influence of nonnormal noncyclic subgroups on the structure of finite groups
Jiangtao SHI, Ruchen HOU, Cui ZHANG
Hokkaido Math. J. 47(3): 481-486 (October 2018). DOI: 10.14492/hokmj/1537948826

Abstract

We obtain a complete classification of finite groups in which all noncyclic proper subgroups are nonnormal, and we apply this classification to investigate some structures of finite groups.

Citation

Download Citation

Jiangtao SHI. Ruchen HOU. Cui ZHANG. "The influence of nonnormal noncyclic subgroups on the structure of finite groups." Hokkaido Math. J. 47 (3) 481 - 486, October 2018. https://doi.org/10.14492/hokmj/1537948826

Information

Published: October 2018
First available in Project Euclid: 26 September 2018

zbMATH: 06959099
MathSciNet: MR3858374
Digital Object Identifier: 10.14492/hokmj/1537948826

Subjects:
Primary: 20D05 , 20D10

Keywords: nonabelian simple group , noncyclic subgroup , nonnormal

Rights: Copyright © 2018 Hokkaido University, Department of Mathematics

Vol.47 • No. 3 • October 2018
Back to Top