7 papers
Examples of left-orderable and non-left-orderable HNN extensions
Azer Akhmedov, Cody Martin
We prove that an HNN extension of a torsion-free nilpotent group is left-orderable. We also construct examples of non-left-orderable HNN extensions of left-orderable groups
Non-bi-orderable one-relator groups without generalized torsion
Azer Akhmedov, James Thorne
We construct examples of non-bi-orderable one-relator groups without generalized torsion. This answers a question asked in [2].
On Dense Subgroups of Homeo(I)
Azer Akhmedov
We prove that a dense subgroup of is not elementary amenable. We also show that the topological group does not satisfy the Stability…
A note on the problem of straight-line interpolation by ridge functions
Azer Akhmedov, Vugar Ismailov
In this paper we discuss the problem of interpolation on straight lines by linear combinations of ridge functions with fixed directions. By using some geometry and/or systems of li…
Irreducible discrete subgroups in products of simple Lie groups
Azer Akhmedov
We produce an example of an irreducible discrete subgroup in the product which is not a lattice. This answers a question asked in [15].
On groups of diffeomorphisms of the interval with finitely many fixed points
Azer Akhmedov
In [13], it is proved that any subgroup of (the group of orientation preserving analytic diffeomorphisms of the interval) is either metaabelian or does…