Year: 2023
Author: Wei Meng, Jiakuan Lu
Journal of Mathematical Study, Vol. 56 (2023), Iss. 1 : pp. 93–102
Abstract
Let G be a finite group and c(G) denote the number of cyclic subgroups of G. It is known that the minimal value of c on the set of groups of order n, where n is a positive integer, will occur at the cyclic group Zn. In this paper, for non-cyclic nilpotent groups G of order n, the lower bounds of c(G) are established.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v56n1.23.03
Journal of Mathematical Study, Vol. 56 (2023), Iss. 1 : pp. 93–102
Published online: 2023-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: p-groups cyclic subgroups Nilpotent groups.