The special subgroup of invertible non-commutative rational power series as a metric group

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dc.creatorBacher, Roland
dc.date2008-04-07
dc.date2008-04-29
dc.date.accessioned2026-07-07T12:18:10Z
dc.date.available2026-07-07T12:18:10Z
dc.descriptionWe give an easy proof of Schützenberger's Theorem stating that non-commutative formal power series are rational if and only if they are recognisable. A byproduct of this proof is a natural metric on a subgroup of invertible rational non-commutative power series. We describe a few features of this metric group.
dc.description41 pages
dc.identifierhttps://arxiv.org/abs/0804.1092
dc.identifierhttp://arxiv.org/abs/0804.1092
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/212318
dc.subjectCombinatorics
dc.subjectGroup Theory
dc.titleThe special subgroup of invertible non-commutative rational power series as a metric group
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