Roman V. Mikhailov, “An Example of a Fractal Finitely Generated Solvable Group”, Trudy Mat. Inst. Steklova, 2019, Volume 307,Pages <nobr>142–147</nobr>

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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. Mikhailov^ab

^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.

UDC: 512.544.33

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

DOI: 10.4213/tm4034

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

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© Steklov Math. Inst. of RAS, 2025