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Original Articles

Finite groups with a prescribed number of cyclic subgroups

, &
Pages 1043-1056
Received 16 Jan 2018
Accepted 29 Jun 2018
Published online: 19 Nov 2018
 

Abstract

Marius Tărnăuceanu described the finite groups G having |G|1 cyclic subgroups. We describe the finite groups G having |G|Δ cyclic subgroups for Δ=2,3,4, and 5.

Acknowledgements

This paper is an expansion and revision of the Master’s thesis of the second author, which was directed by the first and third authors.

We would like to thank the anonymous referee for a very careful reading of the paper, and for many helpful remarks.

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