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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 -groups. A generalization of this property is also studied.
Subnormal subgroups possessing connected transversals are briefly discussed.
Let G be a non-periodic locally solvable group. A characterization is given of the subgroups-D of G for which the map , for all , defines a lattice-endomorphism.
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