Email this article Infinite Geodesics in the Discrete Heisenberg Group
- Authors: Vershik A.M.1,2, Malyutin A.V.1
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Affiliations:
- St. Petersburg Department of Steklov Institute of Mathematics and St. Petersburg State University
- Institute for Information Transmission Problems
- Issue: Vol 232, No 2 (2018)
- Pages: 121-128
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/241272
- DOI: https://doi.org/10.1007/s10958-018-3862-5
- ID: 241272
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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.
About the authors
A. M. Vershik
St. Petersburg Department of Steklov Institute of Mathematics and St. Petersburg State University; Institute for Information Transmission Problems
Author for correspondence.
Email: avershik@gmail.com
Russian Federation, St. Petersburg; Moscow
A. V. Malyutin
St. Petersburg Department of Steklov Institute of Mathematics and St. Petersburg State University
Email: avershik@gmail.com
Russian Federation, St. Petersburg
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