Order separability of HNN-extensions and free products with commutative subgroups
Vladimir V. Yedynak
TL;DR
This paper investigates order separability in HNN extensions and free products with commutative subgroups, proving that certain HNN extensions of free groups are 2-order separable, advancing understanding of their algebraic properties.
Contribution
It establishes that HNN extensions of free groups with maximal connected cyclic subgroups are 2-order separable, a new result in the study of algebraic separability properties.
Findings
HNN extension of a free group with maximal connected cyclic subgroups is 2-order separable
Provides new insights into the order separability of algebraic group constructions
Advances theoretical understanding of free product structures with commutative subgroups
Abstract
This paper is devoted to the investigation of the property of order separability for HNN extensions and free products with commutative subgroups. Particularly it was proven that HNN extension of a free group with maximal connected cyclic subgroups is 2-order separable.
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Taxonomy
TopicsGeometric and Algebraic Topology · semigroups and automata theory · Advanced Operator Algebra Research