Growth Functions of Fr-sets

Lomond, Jonny

Serdica Mathematical Journal (2012)

  • Volume: 38, Issue: 1-3, page 463-472
  • ISSN: 1310-6600

Abstract

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2010 Mathematics Subject Classification: 05C30, 20E08, 20F65.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.

How to cite

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Lomond, Jonny. "Growth Functions of Fr-sets." Serdica Mathematical Journal 38.1-3 (2012): 463-472. <http://eudml.org/doc/288262>.

@article{Lomond2012,
abstract = {2010 Mathematics Subject Classification: 05C30, 20E08, 20F65.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.},
author = {Lomond, Jonny},
journal = {Serdica Mathematical Journal},
keywords = {Group Action; Growth Function},
language = {eng},
number = {1-3},
pages = {463-472},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Growth Functions of Fr-sets},
url = {http://eudml.org/doc/288262},
volume = {38},
year = {2012},
}

TY - JOUR
AU - Lomond, Jonny
TI - Growth Functions of Fr-sets
JO - Serdica Mathematical Journal
PY - 2012
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 38
IS - 1-3
SP - 463
EP - 472
AB - 2010 Mathematics Subject Classification: 05C30, 20E08, 20F65.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.
LA - eng
KW - Group Action; Growth Function
UR - http://eudml.org/doc/288262
ER -

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