Totally nonfree actions and infinite symmetric group

Details Totally nonfree actions and infinite symmetric group Totally nonfree actions and infinite symmetric group

2011-09-15

arxiv.org/abs/1109.3413v4

Mathematics

Dynamical Systems

28 pp., Ref. 16

Scientific paper

We consider the totally nonfree (TNF) action of a groups and the corresponding adjoint invariant (AD) measures on the 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 $S_{\Bbb N}$. The problem is closely related to the theory of characters and factor representations of groups.

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