The growth series of \(H\wr(\mathbb{Z}\times\mathbb{Z}_ 2)\) (Q1359081)
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scientific article; zbMATH DE number 1026265
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The growth series of \(H\wr(\mathbb{Z}\times\mathbb{Z}_ 2)\) |
scientific article; zbMATH DE number 1026265 |
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The growth series of \(H\wr(\mathbb{Z}\times\mathbb{Z}_ 2)\) (English)
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3 August 1997
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Let \(H\) be a group with finite generating set \(A\), and growth series \(\eta(t)\) with respect to \(A\). Then the growth series of \(H\wr(\mathbb{Z}\times\mathbb{Z}_2)\) with respect to the finite generating set \(A\cup\{(1,0),(0,1)\}\) is explicitly calculated, in terms of \(\eta(t)\).
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finite generating sets
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growth series
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