On commuting probabilities in finite groups and rings

Öz

We show that the set of all commuting probabilities in finite rings is a subset ofthe set of all commuting probabilities in finite nilpotent groups of class $\leq 2$. These two sets are equal when restricted to groups and rings with odd number of elements.

Anahtar Kelimeler

• Finite group
• Finite ring
• Commuting probability
• Annihilating probability
• Nilpotent group
• Nilpotent ring

Kaynakça

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