Geodesic
On strictly sparse subsets of a~free group
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 2 (2005), pp. 1-13.

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This paper is motivated by needs of practical computations in finitely generated groups. In the most of the computations in finitely generated groups $G$ the elements are represented as freely reduced words in the free group $F$. In [1] a family of probability measures was used for estimating the complexity of algorithms on groups and subsets of $F$ were classified according to these measures. We find out which regular sets are sparse, i.e. small with respect to the probability measures. 
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J. S. Averina; E. V. Frenkel. On strictly sparse subsets of a~free group. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 2 (2005), pp. 1-13. http://geodesic.mathdoc.fr/item/SEMR_2005_2_a0/

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