Measure free factors of free groups
Juan Alonso
TL;DR
This paper introduces measure free factors as a measure-theoretic extension of free factors in groups, discovering new families of cyclic measure free factors in free and virtually free groups.
Contribution
It identifies new classes of cyclic measure free factors in free groups and virtually free groups, addressing a question posed by D. Gaboriau.
Findings
Found new families of cyclic measure free factors
Extended the concept to virtually free groups
Provided insights into measure-theoretic group decompositions
Abstract
Measure free factors are a generalization of the notion of free factors of a group, in a measure theoretic context. We find new families of cyclic measure free factors of free groups and some virtually free groups, following a question by D. Gaboriau.
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Taxonomy
TopicsGeometric and Algebraic Topology · semigroups and automata theory · Advanced Operator Algebra Research