Note on the Cantor-Bendixson rank of limit groups
Abderezak Ould Houcine

TL;DR
This paper proves that the Cantor-Bendixson rank of limit groups, including those from linear groups, is always finite, providing new insights into their topological complexity.
Contribution
It establishes the finiteness of the Cantor-Bendixson rank for limit groups and those derived from linear groups, advancing understanding of their structure.
Findings
Cantor-Bendixson rank of limit groups is finite
Limit groups of linear groups also have finite rank
Provides new topological insights into the structure of these groups
Abstract
We show that the Cantor-Bendixson rank of a limit group is finite as well as that of a limit group of a linear group.
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Taxonomy
TopicsGeometric and Algebraic Topology · Advanced Operator Algebra Research · Finite Group Theory Research
