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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2019, Volume 307, Pages 142–147
DOI: https://doi.org/10.4213/tm4034
(Mi tm4034)
 

An Example of a Fractal Finitely Generated Solvable Group

Roman V. Mikhailovab

a Laboratory of Modern Algebra and Applications, St. Petersburg State University, 14-ya liniya Vasil'evskogo ostrova 29, St. Petersburg, 199178 Russia
b St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, nab. Fontanki 27, St. Petersburg, 191023 Russia
References:
Abstract: A fractal group is a group with unbounded iterated identity. In this paper a finitely generated fractal solvable group is constructed.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 14.W03.31.0030
The work is supported by a grant of the Government of the Russian Federation for the state support of scientific research carried out under the supervision of leading scientists, contract no. 14.W03.31.0030 of February 15, 2018.
Received: May 20, 2019
Revised: June 5, 2019
Accepted: June 5, 2019
English version:
Proceedings of the Steklov Institute of Mathematics, 2019, Volume 307, Pages 125–129
DOI: https://doi.org/10.1134/S0081543819060075
Bibliographic databases:
Document Type: Article
UDC: 512.544.33
Language: Russian
Citation: Roman V. Mikhailov, “An Example of a Fractal Finitely Generated Solvable Group”, Algebra, number theory, and algebraic geometry, Collected papers. Dedicated to the memory of Academician Igor Rostislavovich Shafarevich, Trudy Mat. Inst. Steklova, 307, Steklov Mathematical Institute of RAS, Moscow, 2019, 142–147; Proc. Steklov Inst. Math., 307 (2019), 125–129
Citation in format AMSBIB
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\paper An Example of a Fractal Finitely Generated Solvable Group
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\bookinfo Collected papers. Dedicated to the memory of Academician Igor Rostislavovich Shafarevich
\serial Trudy Mat. Inst. Steklova
\yr 2019
\vol 307
\pages 142--147
\publ Steklov Mathematical Institute of RAS
\publaddr Moscow
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    Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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