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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2000, Volume 231, Pages 356–367 (Mi tm523)  
This article is cited in 18 scientific papers (total in 18 papers)

Everywhere Dense Subgroups of One Group of Tree Automorphisms

E. L. Pervova

Chelyabinsk State University
Full-text PDF (225 kB) Citations (18)
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Abstract: The well-known question of the existence, in the Grigorchuk 2-groups, of subgroups that are everywhere dense in the profinite topology is answered negatively. This is shown to be equivalent to the fact that these groups do not contain maximal subgroups of infinite index.
Received in February 2000
Bibliographic databases:
UDC: 512.54
Language: Russian
Citation: E. L. Pervova, “Everywhere Dense Subgroups of One Group of Tree Automorphisms”, Dynamical systems, automata, and infinite groups, Collected papers, Trudy Mat. Inst. Steklova, 231, Nauka, MAIK «Nauka/Inteperiodika», M., 2000, 356–367; Proc. Steklov Inst. Math., 231 (2000), 339–350
Citation in format AMSBIB
\Bibitem{Per00}
\by E.~L.~Pervova
\paper Everywhere Dense Subgroups of One Group of Tree Automorphisms
\inbook Dynamical systems, automata, and infinite groups
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2000
\vol 231
\pages 356--367
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm523}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1841763}
\zmath{https://zbmath.org/?q=an:1018.20019}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2000
\vol 231
\pages 339--350
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    • This publication is cited in the following 18 articles:
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