Subgroup growth of free products
Copyright policy )Subgroup growth of free products
For a group \(G\) denote by \(s_G(n)\) the number of subgroups of index \(n\) in \(G\). The purpose of the present paper is to investigate the growth behaviour and the asymptotics of \(s_G(n)\) in the case when \(G\) is a free product of the form \(G=*^s_{k=1}G_k*F_r\) (\(0\leq r,s<\infty\), \(1
- Bielefeld University Germany
subgroup growth, Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations, Generators, relations, and presentations of groups, asymptotic expansion, free products, number of subgroups, Subgroup theorems; subgroup growth, Asymptotic results on counting functions for algebraic and topological structures
subgroup growth, Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations, Generators, relations, and presentations of groups, asymptotic expansion, free products, number of subgroups, Subgroup theorems; subgroup growth, Asymptotic results on counting functions for algebraic and topological structures
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