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arXiv · 1802.03555

Breaking points in the poset of conjugacy classes of subgroups of a finite group

Marius Tărnăuceanu
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Abstract

In this note, 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.

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Marius Tărnăuceanu. 2018-02-10. Breaking points in the poset of conjugacy classes of subgroups of a finite group. https://arxiv.org/abs/1802.03555

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