The rationality of Sol-manifolds (Q853910)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The rationality of Sol-manifolds |
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The rationality of Sol-manifolds (English)
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7 December 2006
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The author shows: Theorem 1.1. Let \(\Gamma \) be the fundamental group of a 3-dimensional Sol manifold. Then there exists a finite index subgroup \(G\) generated by a finite set \(S\) so that \(G\) has rational growth with respect to \(S\) (in other words, \(\Gamma \) is virtually rational). This is done by enumerating \(G\) by a regular language which is not a language in the generating set.
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Sol manifold
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3-manifold
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group growth
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rational growth
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finite state automaton
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