ON THE NUMBER OF CYCLIC SUBGROUPS IN FINITE GROUPS

Keyan Song; Wei Zhou

ON THE NUMBER OF CYCLIC SUBGROUPS IN FINITE GROUPS

Authors

Keyan Song Southwest Chongqing University - School of Mathematics and Statistics
Wei Zhou Southwest Chongqing University - School of Mathematics and Statistics

Keywords:

finite groups, cyclic subgroups, 2-groups

Abstract

It is proved that a finite group G has |G| − 3 cyclic subgroups if and only if G \(\cong\) D₁₀ or Q₈.

Cover of n°41 Italian Journal of Pure and Applied Mathematics

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Published

2019-02-27

How to Cite

Song, K., & Zhou, W. (2019). ON THE NUMBER OF CYCLIC SUBGROUPS IN FINITE GROUPS. Italian Journal of Pure and Applied Mathematics, 41, 593–596. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/7086