Finite groups with a certain number of cyclic subgroups II

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Open Access

|Mar 2019

Abstract

In this note we describe the finite groups G having |G| − 2 cyclic subgroups. This partially solves the open problem in the end of [3].

[1] I. M. Isaacs, Finite group theory, Amer. Math. Soc., Providence, R. I., 2008.10.1090/gsm/092
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[2] Z. Janko, Finite 2-groups G with |Ω₂(G)| = 16, Glas. Mat. Ser. III, 40 (2005), 71–86.10.3336/gm.40.1.08
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[3] M. Tărnăuceanu, Finite groups with a certain number of cyclic subgroups, Amer. Math. Monthly, 122 (2015), 275–276.10.4169/amer.math.monthly.122.03.275
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Language: English

Page range: 375 - 377

Submitted on: Dec 2, 2017

Published on: Mar 4, 2019

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

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© 2019 Marius Tărnăuceanu, published by Sapientia Hungarian University of Transylvania
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.