Geodesic
Breaking points in the poset of conjugacy classes of subgroups of a finite group
Czechoslovak Mathematical Journal, Tome 69 (2019) no. 4, pp. 1081-1087
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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 $2$-groups. A generalization of this property is also studied.
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.
DOI : 10.21136/CMJ.2019.0066-18
Classification : 20D15, 20D30, 20E15
Keywords: breaking point; poset of conjugacy classes of subgroups; interval; generalized quaternion $2$-group 
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Tărnăuceanu, Marius. Breaking points in the poset of conjugacy classes of subgroups of a finite group. Czechoslovak Mathematical Journal, Tome 69 (2019) no. 4, pp. 1081-1087. doi: 10.21136/CMJ.2019.0066-18

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