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A result on the number of cyclic subgroups of a finite group - MaRDI portal

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A result on the number of cyclic subgroups of a finite group

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Publication:6336672

DOI10.3792/PJAA.96.018arXiv2003.06072MaRDI QIDQ6336672

Author name not available (Why is that?)

Publication date: 12 March 2020

Abstract: Let G be a finite group and alpha(G)=frac|C(G)||G|,, where C(G) denotes the set of cyclic subgroups of G. In this short note, we prove that alpha(G)leqalpha(Z(G)) and we describe the groups G for which the equality occurs. This gives some sufficient conditions for a finite group to be 4-abelian or abelian.





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