Totally nonfree actions and infinite symmetric group
classification
🧮 math.DS
math.RT
keywords
groupgroupsinfinitenonfreesubgroupssymmetrictotallyaction
read the original abstract
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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