Subgroup Growth

Alexander Lubotzky
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Alexander Lubotzky: Hebrew University, Institute of Mathematics

A chapter in Proceedings of the International Congress of Mathematicians, 1995, pp 309-317 from Springer

Abstract: Abstract Let Γ be a group generated by a finite set S. Denote by $$b_n^S(\Gamma )$$ b n S ( Γ ) the number of element Γ of length at most n with respect to S∪ S-1. The word growth of Γ, i.e., the growth of the sequence $$b_n^S(\Gamma )$$ b n S ( Γ ) has received considerable attention following the observation that it has some geometric meaning (see [Gr] and the references therein).

Date: 1995
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DOI: 10.1007/978-3-0348-9078-6_24

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