A characterization of generalized quaternion 2-groups. (Q990196)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A characterization of generalized quaternion 2-groups. |
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A characterization of generalized quaternion 2-groups. (English)
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6 September 2010
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It is shown that the cyclic \(p\)-groups of order at least \(p^2\) and the generalized quaternion groups are the only finite groups having a nontrivial cyclic subgroup that contains or is contained in every other cyclic subgroup.
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generalized quaternion groups
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posets of cyclic subgroups
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breaking points
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