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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.
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
Linking options:
https://www.mathnet.ru/eng/tm4034https://doi.org/10.4213/tm4034 https://www.mathnet.ru/eng/tm/v307/p142
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Abstract page: | 310 | Full-text PDF : | 77 | References: | 33 | First page: | 30 |
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