On uniform exponential growth for solvable groups

Emmanuel Breuillard

On uniform exponential growth for solvable groups

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arxiv math/0602076 v2 pith:DNIWTQZ4 submitted 2006-02-04 math.GR

Emmanuel Breuillard This is my paper · ORCID

classification math.GR

keywords exponentialgrowthgroupssolvableuniformdisappearsdiscussfinite

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Using a theorem of J. Groves we give a ping-pong proof of Osin's uniform exponential growth for solvable groups. We discuss slow exponential growth and show that this phenomenon disappears as one passes to a finite index subgroup.

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A uniform Tits alternative for endomorphisms of the projective line
math.NT 2025-04 accept novelty 7.0 of 10

Finitely generated semigroups of endomorphisms of P1 over characteristic 0 that have exponential growth have uniform exponential growth, with diameter of independence at most 2 when a degree at least 2 map exists.

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