On the horofunction boundary of discrete Heisenberg group

2020 | journal article. A publication with affiliation to the University of Göttingen.

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​On the horofunction boundary of discrete Heisenberg group​
Bader, U. & Finkelshtein, V.​ (2020) 
Geometriae Dedicata, 208(1) pp. 113​-127​.​ DOI: https://doi.org/10.1007/s10711-020-00513-x 

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Authors
Bader, Uri; Finkelshtein, Vladimir
Abstract
Abstract We consider a finitely generated group endowed with a word metric. The group acts on itself by isometries, which induces an action on its horofunction boundary. The conjecture is that nilpotent groups act trivially on their reduced boundary. We will show this for the Heisenberg group. The main tool will be a discrete version of the isoperimetric inequality.
Issue Date
2020
Journal
Geometriae Dedicata 
Organization
Mathematisches Institut 
ISSN
0046-5755
eISSN
1572-9168
ISSN
0046-5755
eISSN
1572-9168
Language
English
Sponsor
Georg-August-Universität Göttingen (1018)

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