On commuting probabilities in finite groups and rings
We show that the set of all commuting probabilities in finite rings is a subset of the set of all commuting probabilities in finite nilpotent groups of class \(\le2\). We believe that these two sets are equal; we prove they are equal, when restricted to groups and rings with odd number of elements.
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| creator | Juráš, Martin Ursul, Mihail |
| description | We show that the set of all commuting probabilities in finite rings is a subset of the set of all commuting probabilities in finite nilpotent groups of class \(\le2\). We believe that these two sets are equal; we prove they are equal, when restricted to groups and rings with odd number of elements. |
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| source | Free E- Journals |
| subjects | Commuting |
| title | On commuting probabilities in finite groups and rings |
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