Czechoslovak Mathematical Journal, Vol. 69, No. 4, pp. 1081-1087, 2019
Breaking points in the poset of conjugacy classes of subgroups of a finite group
Marius Tărnăuceanu
Received October 24, 2018. Published online June 3, 2019.
Abstract: We determine the finite groups whose poset of conjugacy classes of subgroups has breaking points. This leads to a new characterization of the generalized quaternion 2-groups. A generalization of this property is also studied.
Keywords: breaking point; poset of conjugacy classes of subgroups; interval; generalized quaternion 2-group
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Affiliations: Marius Tărnăuceanu, Faculty of Mathematics, "Al. I. Cuza" University, Bd. Carol I, nr. 11, 700506, Jasy, Romania, e-mail: tarnauc@uaic.ro
