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 for this kind of probability so that the knowledge of the whole structure of the group can be more accurate. The same problematic has been recently extended to certain classes of infinite compact groups in [2], obtaining restrictions on the group of the inner automorphisms. Here such restrictions are improved for a wider class of infinite compact groups.

Erfanian, A., Russo, F. (2008). Probability of mutually commuting n-tuples in some classes of compact groups. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 34(2), 27-37.

Probability of mutually commuting n-tuples in some classes of compact groups

RUSSO, Francesco
2008-01-01

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 for this kind of probability so that the knowledge of the whole structure of the group can be more accurate. The same problematic has been recently extended to certain classes of infinite compact groups in [2], obtaining restrictions on the group of the inner automorphisms. Here such restrictions are improved for a wider class of infinite compact groups.
Settore MAT/02 - Algebra
Settore MAT/03 - Geometria
Settore MAT/05 - Analisi Matematica
http://www.iranjournals.ir/ims/bulletin/?_action=articleInfo&article=172
Erfanian, A., Russo, F. (2008). Probability of mutually commuting n-tuples in some classes of compact groups. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 34(2), 27-37.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/55894
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