Search results for "Mutually commuting pairs"

showing 2 items of 2 documents

A probabilistic meaning of certain quasinormal subgroups

2007

The role of the cyclic quasinormal subgroups has been recently described in groups both finite and infinite by S.Stonehewer and G.Zacher. This role can be better analyzed in the class of compact groups, obtaining restrictions for the probability that two randomly chosen elements commute. Mathematcs Subject Classification: 20D60, 20P05, 20D08

Discrete mathematicsSettore MAT/02 - AlgebraClass (set theory)Mutually commuting pairs commutativity degree compact groups quasinormal subgroupsProbabilistic logicSettore MAT/03 - GeometriaMeaning (existential)MathematicsInternational Journal of Algebra
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Isoclinism in probability of commuting n-tuples

2009

Strong restrictions on the structure of a group $G$ can be given, once that it is known the probability that a randomly chosen pair of elements of a finite group $G$ commutes. Introducing the notion of mutually commuting n-tuples for compact groups (not necessary finite), the present paper generalizes the probability that a randomly chosen pair of elements of $G$ commutes. We shall state some results concerning this new concept of probability which has been recently treated in [3]. Furthermore a relation has been found between the notion of mutually commuting n-tuples and that of isoclinism between two arbitrary groups.

Settore MAT/02 - AlgebraSettore MAT/05 - Analisi MatematicaSettore MAT/03 - GeometriaMutually commuting pairscommuting n-tuples commutativity degree isoclinic groups
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