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Keywords:
breaking point; poset of conjugacy classes of subgroups; interval; generalized quaternion $2$-group
breaking point; poset of conjugacy classes of subgroups; interval; generalized quaternion $2$-group
Summary:
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.
References:
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