Growth functions for some uniformly amenable groups
Janusz Dronka ; Bronislaw Wajnryb ; Paweł Witowicz ; Kamil Orzechowski
Open Mathematics, Tome 15 (2017), p. 502-507 / Harvested from The Polish Digital Mathematics Library
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We present a simple constructive proof of the fact that every abelian discrete group is uniformly amenable. We improve the growth function obtained earlier and find the optimal growth function in a particular case. We also compute a growth function for some non-abelian uniformly amenable group.

Publié le : 2017-01-01
EUDML-ID : urn:eudml:doc:288140 
@article{bwmeta1.element.doi-10_1515_math-2017-0049,
     author = {Janusz Dronka and Bronislaw Wajnryb and Pawe\l\ Witowicz and Kamil Orzechowski},
     title = {Growth functions for some uniformly amenable groups},
     journal = {Open Mathematics},
     volume = {15},
     year = {2017},
     pages = {502-507},
     zbl = {06715923},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2017-0049}
}

Janusz Dronka; Bronislaw Wajnryb; Paweł Witowicz; Kamil Orzechowski. Growth functions for some uniformly amenable groups. Open Mathematics, Tome 15 (2017) pp. 502-507. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2017-0049/