6533b825fe1ef96bd128196e
RESEARCH PRODUCT
Isoclinism in probability of commuting n-tuples
A ErfanianFrancesco Russosubject
Settore MAT/02 - AlgebraSettore MAT/05 - Analisi MatematicaSettore MAT/03 - GeometriaMutually commuting pairscommuting n-tuples commutativity degree isoclinic groupsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2009-01-01 |