83 citations · 319 across the 28 of their papers we have counts for
3 papers · 2 filters
Groups generated by 3-state automata over a 2-letter alphabet, I
Ievgen Bondarenko, Rostislav Grigorchuk, Rostyslav Kravchenko +4
An approach to a classification of groups generated by 3-state automata over a 2-letter alphabet and the current progress in this direction are presented. Several results related t…
Self-similar groups, algebras and Schur complements
Rostislav Grigorchuk, Volodymyr Nekrashevych
In the first part of the article we introduce -algebras associated to self-similar groups and study their properties and relations to known algebras. The algebras are construc…
Iterated Monodromy Groups of Quadratic Polynomials, I
Laurent Bartholdi, Volodymyr V. Nekrashevych
We describe the iterated monodromy groups associated with post-critically finite quadratic polynomials, and explicit their connection to the `kneading sequence' of the polynomial.…