Перегляд за автором "Grigorchuk, R."

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On a question of Wiegold and torsion images of Coxeter groups

Grigorchuk, R. (Algebra and Discrete Mathematics, 2009)

We answer positively a question raised byWiegold in Kourovka Notebook and show that every Coxeter group that is not virtually abelian and for which all labels in the corresponding Coxeter graph are powers of 2 or infinity ...
On classification of groups generated by 3-state automata over a 2-letter alphabet

Bondarenko, I.; Grigorchuk, R.; Kravchenko, R.; Muntyan, Y.; Nekrashevych, V.; Savchuk, D.; Sunic, Z. (Algebra and Discrete Mathematics, 2008)

We show that the class of groups generated by 3-state automata over a 2-letter alphabet has no more than 122 members. For each group in the class we provide some basic information, such as short relators, a few initial ...
On the condensation property of the Lamplighter groups and groups of intermediate growth

Benli, M.G.; Grigorchuk, R. (Algebra and Discrete Mathematics, 2014)

The aim of this short note is to revisit some old results about groups of intermediate growth and groups of the lamplighter type and to show that the Lamplighter group L = Z₂≀Z is a condensation group and has a minimal ...
Uncountably many 2-generated just-infinite branch pro-2 groups

Benli, M.G.; Grigorchuk, R. (Algebra and Discrete Mathematics, 2015)

The aim of this note is to prove that there are 2ℵ0 non-isomorphic 2 generated just-infinite branch pro-2 groups.

Результати 1-4 з 4

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