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Trudy Mat. Inst. Steklova, 2019, Volume 307, Pages 142–147 (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

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.


DOI: https://doi.org/10.4213/tm4034

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English version:
Proceedings of the Steklov Institute of Mathematics, 2019, 307, 125–129

Bibliographic databases:

UDC: 512.544.33
Received: May 20, 2019
Revised: June 5, 2019
Accepted: June 5, 2019

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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\bookinfo Collected papers. Dedicated to the memory of Academician Igor Rostislavovich Shafarevich
\serial Trudy Mat. Inst. Steklova
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\vol 307
\pages 142--147
\publ Steklov Mathematical Institute of RAS
\publaddr Moscow
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  • Труды Математического института им. В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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