TY - JOUR

T1 - Infinite Geodesics in the Discrete Heisenberg Group

AU - Малютин, Андрей Валерьевич

AU - Вершик, Анатолий Моисеевич

N1 - A.M.Vershik, A.V.Malyutin, Infinite Geodesics in the Discrete Heisenberg Group. Journal of Mathematical Sciences, Volume 232, Issue 2, 1 July 2018, Pages 121-128. https://link.springer.com/article/10.1007%2Fs10958-018-3862-5

PY - 2018/7/1

Y1 - 2018/7/1

N2 - 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.

AB - 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.

KW - discrete Heisenberg group

KW - normal form

KW - absolute

KW - exit-boundary

KW - geodesic

UR - http://www.scopus.com/inward/record.url?scp=85047408339&partnerID=8YFLogxK

U2 - https://doi.org/10.1007/s10958-018-3862-5

DO - https://doi.org/10.1007/s10958-018-3862-5

M3 - Article

VL - 232

SP - 121

EP - 128

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 2

ER -