Order separability of free product of free groups with cyclic amalgamation
Vladimir V. Yedynak
TL;DR
This paper proves that free products of free groups with cyclic amalgamation possess the order separability property, enhancing understanding of their algebraic structure.
Contribution
It establishes the order separability property for free products of free groups with maximal cyclic amalgamated subgroups, a previously unproven aspect.
Findings
Order separability is confirmed for these free products.
The result applies to groups with maximal cyclic amalgamation.
This advances the theory of free product groups with amalgamation.
Abstract
This paper is devoted to the proof of the property of order separability for free product of free groups with maximal cyclic amalgamated subgroups.
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Taxonomy
TopicsGeometric and Algebraic Topology · Advanced Operator Algebra Research · semigroups and automata theory