33 citations · 63 across the 21 of their papers we have counts for
24 papers
On weak commutativity between isomorphic groups,
Said N. Sidki, Noraí R. Rocco, Ricardo N. de Oliveira +1
The Weak Commutativity Group was defined by the first author in the early 1980's as where and are iso…
Combinatorial structures connecting Latin squares and bireversible automata
Brian Curtin, Dmytro Savchuk
This paper explores the theory of letter transducers, Mealy automata, and bireversible automata from a combinatorial perspective analogous to the theory of Latin squares. We view t…
Explicit Generators for the Stabilizers of Rational Points in Thompson's Group
Krystofer Baker, Dmytro Savchuk
We construct explicit finite generating sets for the stabilizers in Thompson's group of rational points of a unit interval or a Cantor set. Our technique is based on the Reidem…
Liftable self-similar groups and scale groups
Rostislav Grigorchuk, Dmytro Savchuk
We canonically identify the groups of isometries and dilations of local fields and their rings of integers with subgroups of the automorphism group of the -regular tree $\wi…
Solenoid Maps, Automatic Sequences, Van Der Put Series, and Mealy-Moore Automata
Rostislav Grigorchuk, Dmytro Savchuk
The ring of -adic integers has a natural interpretation as the boundary of a rooted -ary tree . Endomorphisms of this tree (i.e. solenoid maps) are in one-…
The lamplighter group of rank two generated by a bireversible automaton
Elsayed Ahmed, Dmytro Savchuk
We construct a 4-state 2-letter bireversible automaton generating the lamplighter group of rank two. The action of the generators on the boundary of t…