Geometry and dynamics on the free solvable groups
Anatoly Vershik
TL;DR
This paper introduces a new model for free solvable groups of level two, facilitating the calculation of their Poisson-Furstenberg boundary, which advances understanding of their geometric and dynamic properties.
Contribution
It provides a novel model for free solvable groups of level two, enabling explicit computation of their Poisson-Furstenberg boundary.
Findings
New model for free solvable groups of level two
Explicit calculation of the Poisson-Furstenberg boundary
Enhanced understanding of geometric and dynamic properties
Abstract
The new model for the free solvable groups of level two is given; this helps to calculate the Poisson-Furstenberg boundary of the group.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Advanced Algebra and Geometry