Author/Authors :
ERFANIAN, A. ferdowsi university of mashhad - Center of Excellence in Analysis on Algebraic Structures - Department of Mathematics, مشهد, ايران , RUSSO, F. ferdowsi university of mashhad - Center of Excellence in Analysis on Algebraic Structures - Department of Mathematics, مشهد, ايران
Abstract :
In finite groups the probability that two randomly chosen elements commute or randomly ordered n-tuples of elements mutually commute have recently attracted interest by many authors.There are some classical results estimating the bounds forthis kind of probability so that the knowledge of the whole structureof the group can be more accurate.The same problematic has been recently extended to certainclasses of infinite compact groups in [2], obtaining restrictions onthe group of the inner automorphisms. Here such restrictions are improved for a wider class of infinite compact groups.
