Abstract
We provide examples of finitely generated groups of uniform exponential growth whose minimal growth is not realized by any generating set: namely, all non-Hopfian free products of groups have this property. This result stems from growth tightness of free products: that is, the exponential growth rate of every nontrivial free product, different from Z 2 * Z 2, its strictly greater than the growth rate of any of its proper quotients.
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More From: Comptes Rendus de l'Academie des Sciences Series I Mathematics
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