The exponent of convergence of Poincaré series of combination groups (Q1177398)
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scientific article; zbMATH DE number 20396
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The exponent of convergence of Poincaré series of combination groups |
scientific article; zbMATH DE number 20396 |
Statements
The exponent of convergence of Poincaré series of combination groups (English)
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26 June 1992
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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.
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Poincaré series
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free product
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Möbius group of transformations
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exponent of convergence
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0.9487752
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0.8988818
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0.88853335
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0.88281614
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0.88268656
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0.8812205
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0.87916756
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