Isoclinism in probability of commuting n-tuples

    Risultato della ricerca: Articlepeer review

    Abstract

    Strong restrictions on the structure of a group $G$ can be given, once that itis known the probability that a randomly chosen pair of elements of a finitegroup $G$ commutes. Introducing the notion of mutually commuting n-tuplesfor compact groups (not necessary finite), the present paper generalizes theprobability that a randomly chosen pair of elements of $G$ commutes. We shallstate some results concerning this new concept of probability which has beenrecently treated in [3]. Furthermore a relation has been found between thenotion of mutually commuting n-tuples and that of isoclinism between twoarbitrary groups.
    Lingua originaleEnglish
    pagine (da-a)27-36
    Numero di pagine10
    RivistaITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS
    Volume25
    Stato di pubblicazionePublished - 2009

    Fingerprint Entra nei temi di ricerca di 'Isoclinism in probability of commuting n-tuples'. Insieme formano una fingerprint unica.

    Cita questo