3 citations · 8 across the 10 of their papers we have counts for
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An analogue of the strengthened Hanna Neumann conjecture for virtually free groups and virtually free products
Anton A. Klyachko, Alexander O. Zakharov
The Friedman--Mineyev theorem, earlier known as the (strengthened) Hanna Neumann conjecture, gives a sharp estimate for the rank of the intersection of two subgroups in a free grou…
Relative order and spectrum in free and related groups
Jordi Delgado, Enric Ventura, Alexander Zakharov
In this paper, we consider a natural generalization of the concept of order of an element in a group: an element is said to have order in a subgroup of (\resp…
Eraser morphisms and membership problem in groups and monoids
Daniele D'Angeli, Emanuele Rodaro, Pedro V. Silva +1
We develop the theory of fragile words by introducing the concept of eraser morphism and extending the concept to more general contexts such as (free) inverse monoids. We character…
Commensurability of Baumslag-Solitar groups
Montserrat Casals-Ruiz, Ilya Kazachkov, Alexander Zakharov
In this paper we classify Baumslag-Solitar groups up to commensurability. In order to prove our main result we give a solution to the isomorphism problem for a subclass of Generali…
On commensurability of some right-angled Artin groups II: RAAGs defined by paths
Montserrat Casals-Ruiz, Ilya Kazachkov, Alexander Zakharov
In this paper we continue the study of right-angled Artin groups up to commensurability initiated in [CKZ]. We show that RAAGs defined by different paths of length greater than 3 a…
On finitely generated submonoids of virtually free groups
Pedro V. Silva, Alexander Zakharov
We prove that it is decidable whether or not a finitely generated submonoid of a virtually free group is graded, introduce a new geometric characterization as quasi-geodesic monoid…