arXiv subjects

Vladimir V. Yedynak

Publications and source records attributed to Vladimir V. Yedynak.

7 recordsLinked to original sources

arXiv2010

Generalization of order separability for free products and omnipotence of free products of groups

It was proved that for any finite set of elements of a free product of residually finite groups such that no two of them belong to conjugate cyclic subgroups and each of them do not belong to a subgroup which is conjugate a to free factor there exists a homomorphism of the free product onto a finite group such that the order of the image of each fixed element is an arbitrary multiple of a constant number.

math.GR↗

arXiv2010

Quasipotency and $g$-potency in free constructions

In this paper we investigate the properties of quasipotency and $g$-potency for free products with amalgamation.

math.GR↗

arXiv2010

Order separability

This paper is devoted to the investigation of the property of order separability for free products of groups.

math.GR↗

arXiv2010

Multielement order separability in free products of groups

We introduce the notion of multielement order separability and study this property for free groups and free products.

math.GR↗

arXiv2010

Generalization of order separability for free groups

In this work the author studies the property close to property of order separability.

math.GR↗

arXiv2010

Order separability of HNN-extensions and free products with commutative subgroups

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.

math.GR↗

arXiv2010

Order separability of free product of free groups with cyclic amalgamation

This paper is devoted to the proof of the property of order separability for free product of free groups with maximal cyclic amalgamated subgroups.

math.GR↗