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Subjects
20-XX Group theory and generalizations
20Dxx Abstract finite groups
20D15 Nilpotent groups, $p$ -groups

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

Marius Tărnăuceanu (2019)

Czechoslovak Mathematical Journal

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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