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Moscow Mathematical Journal, 2012, Volume 12, Number 1, Pages 193–212
DOI: https://doi.org/10.17323/1609-4514-2012-12-1-193-212 (Mi mmj453) 		 
This article is cited in 49 scientific papers (total in 50 papers)

Totally nonfree actions and the infinite symmetric group

A. M. Vershikab

a St. Petersburg Department of Steklov Institute of Mathematics
b Max Planck Institute, Bonn
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DOI: https://doi.org/10.17323/1609-4514-2012-12-1-193-212
Abstract: We consider totally nonfree (TNF) actions of groups and the corresponding adjoint invariant (AD) measures on lattices of the subgroups of the given group. The main result is the description of all adjoint-invariant and TNF measures on the lattice of subgroups of the infinite symmetric group $S_\mathbb N$. The problem is closely related to the theory of characters and factor representations of groups.
Key words and phrases: totally nonfree actions, infinite symmetric group, random subgroups.
Received: October 4, 2011
Bibliographic databases:
Document Type: Article
MSC: 37A15, 20B35, 22D40
Language: English
Citation: A. M. Vershik, “Totally nonfree actions and the infinite symmetric group”, Mosc. Math. J., 12:1 (2012), 193–212
Citation in format AMSBIB
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    • This publication is cited in the following 50 articles:
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