Remarks on Some Growth Functions

Daniele Ettore Otera ()
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Daniele Ettore Otera: Institute of Data Science and Digital Technologies, Vilnius University, Akademijos St. 4, LT-08663 Vilnius, Lithuania

Mathematics, 2023, vol. 11, issue 6, 1-7

Abstract: In this note, we will focus on the relationships between the growth rates of several functions that describe the topological shape at infinity of discrete groups. In particular, we will consider, in detail, the notion of the rate of vanishing of the simple connectivity at infinity for some geometric classes of finitely presented groups.

Keywords: Cayley graphs; discrete groups; ends; growth functions; topology at infinity (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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