Geodesic
Infinite geodesics in the discrete Heisenberg group
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XXVIII, Tome 462 (2017), pp. 39-51 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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A. M. Vershik; A. V. Malyutin. Infinite geodesics in the discrete Heisenberg group. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XXVIII, Tome 462 (2017), pp. 39-51. http://geodesic.mathdoc.fr/item/ZNSL_2017_462_a1/

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