Geodesic
Divergence of finitely presented groups
Noel Brady1 ; Hung Cong Tran1
1University of Oklahoma, Norman, USA
Groups, geometry, and dynamics, Tome 15 (2021) no. 4, pp. 1331-1361

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DOI

We construct families of finitely presented groups exhibiting new divergence behavior; we obtain divergence functions of the form rα for a dense set of exponents α∈[2,∞) and rnlog(r) for integers n≥2. The same construction also yields examples of finitely presented groups which contain Morse elements that are not contracting.
DOI : 10.4171/ggd/632
Classification : 20-XX
Mots-clés : Group divergence, geodesic divergence, Morse element, contracting element

Noel Brady  1   ; Hung Cong Tran  1

1 University of Oklahoma, Norman, USA 
Noel Brady; Hung Cong Tran. Divergence of finitely presented groups. Groups, geometry, and dynamics, Tome 15 (2021) no. 4, pp. 1331-1361. doi: 10.4171/ggd/632
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     author = {Noel Brady and Hung Cong Tran},
     title = {Divergence of finitely presented groups},
     journal = {Groups, geometry, and dynamics},
     pages = {1331--1361},
     year = {2021},
     volume = {15},
     number = {4},
     doi = {10.4171/ggd/632},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/632/}
}
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