The subgroup growth spectrum of virtually free groups |
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Authors: | Jan-Christoph Schlage-Puchta |
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Affiliation: | 1.Mathematisches Institut,Freiburg,Germany |
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Abstract: | For a finitely generated group Γ denote by μ(Γ) the growth coefficient of Γ, that is, the infimum over all real numbers d such that s n (Γ) < n! d . We show that the growth coefficient of a virtually free group is always rational, and that every rational number occurs as growth coefficient of some virtually free group. |
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