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.
Russo, F. (2007). A probabilistic meaning of certain quasinormal subgroups. INTERNATIONAL JOURNAL OF ALGEBRA, 1, 385-392.
A probabilistic meaning of certain quasinormal subgroups
RUSSO, Francesco
2007-01-01
Abstract
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.
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