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Zapiski Nauchnykh Seminarov POMI, 2017, Volume 462, Pages 39–51
(Mi znsl6495)
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This article is cited in 2 scientific papers (total in 2 papers)
Infinite geodesics in the discrete Heisenberg group
A. M. Vershikabc, A. V. Malyutinab a St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
b St. Petersburg State University, St. Petersburg, Russia
c Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow, Russia
Abstract:
We give an exhaustive description of the family of infinite geodesics in the discrete Heisenberg group (with respect to the standard generating set). The classification of infinite geodesics is needed to describe the so-called absolute (exit boundary) of a group. The absolute of the discrete Heisenberg group will be described in a forthcoming paper.
Key words and phrases:
discrete Heisenberg group, normal form, absolute, exit-boundary, geodesic.
Received: 23.11.2017
Citation:
A. M. Vershik, A. V. Malyutin, “Infinite geodesics in the discrete Heisenberg group”, Representation theory, dynamical systems, combinatorial methods. Part XXVIII, Zap. Nauchn. Sem. POMI, 462, POMI, St. Petersburg, 2017, 39–51; J. Math. Sci. (N. Y.), 232:2 (2018), 121–128
Linking options:
https://www.mathnet.ru/eng/znsl6495 https://www.mathnet.ru/eng/znsl/v462/p39
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Abstract page: | 303 | Full-text PDF : | 151 | References: | 26 |
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