Growth Functions of Fr-sets
Serdica Mathematical Journal, Tome 38 (2012) no. 1-3, pp. 463-472.

Voir la notice de l'article provenant de la source Bulgarian Digital Mathematics Library

In this paper we consider an open problem from [1], regarding the description of the growth functions of the free group acts. Using the language of graphs, we solve this problem by providing the necessary and sufficient conditions for a function to be a growth function for a free group act.
Keywords: Group Action, Growth Function
@article{SMJ2_2012_38_1-3_a20,
     author = {Lomond, Jonny},
     title = {Growth {Functions} of {Fr-sets}},
     journal = {Serdica Mathematical Journal},
     pages = {463--472},
     publisher = {mathdoc},
     volume = {38},
     number = {1-3},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SMJ2_2012_38_1-3_a20/}
}
TY  - JOUR
AU  - Lomond, Jonny
TI  - Growth Functions of Fr-sets
JO  - Serdica Mathematical Journal
PY  - 2012
SP  - 463
EP  - 472
VL  - 38
IS  - 1-3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SMJ2_2012_38_1-3_a20/
LA  - en
ID  - SMJ2_2012_38_1-3_a20
ER  - 
%0 Journal Article
%A Lomond, Jonny
%T Growth Functions of Fr-sets
%J Serdica Mathematical Journal
%D 2012
%P 463-472
%V 38
%N 1-3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SMJ2_2012_38_1-3_a20/
%G en
%F SMJ2_2012_38_1-3_a20
Lomond, Jonny. Growth Functions of Fr-sets. Serdica Mathematical Journal, Tome 38 (2012) no. 1-3, pp. 463-472. http://geodesic.mathdoc.fr/item/SMJ2_2012_38_1-3_a20/