33 citations · 45 across the 7 of their papers we have counts for
Showing 2008 · math.GRShow all
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math.GR2008★ 1 cited
Automata generating free products of groups of order 2
Dmytro Savchuk, Yaroslav Vorobets
We construct a family of automata with n states, n>3, acting on a rooted binary tree that generate the free products of cyclic groups of order 2.
math.GR2008★ 33 cited
Classification of groups generated by 3-state automata over a 2-letter alphabet
Ievgen Bondarenko, Rostislav Grigorchuk, Rostyslav Kravchenko +4
This article contains most of the known results on the classification of groups generated by 3-state automata over a 2-letter alphabet, extending the previous papers 0704.3876 and…
math.GR2008
Some graphs related to Thompson's group F
Dmytro Savchuk
The Schreier graphs of Thompson's group F with respect to the stabilizer of 1/2 and generators x_0 and x_1, and of its unitary representation in L_2([0,1]) induced by the standard…