The exponent of convergence of Poincaré series of combination groups
Copyright policy )The exponent of convergence of Poincaré series of combination groups
The author considers the free product of two discrete subgroups of the Möbius group of transformations \(GM(B^{n+1})\) with an amalgamated subgroup. For this general case he gives an estimate from below for the exponent of convergence in terms of the individual exponents.
- Women's College, Kolkata India
Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization), Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations, Generators, relations, and presentations of groups, Unimodular groups, congruence subgroups (group-theoretic aspects), Möbius group of transformations, 20H10, free product, Poincaré series, exponent of convergence, 30F40
Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization), Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations, Generators, relations, and presentations of groups, Unimodular groups, congruence subgroups (group-theoretic aspects), Möbius group of transformations, 20H10, free product, Poincaré series, exponent of convergence, 30F40
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