Definable quotients of locally definable groups
Abstract We study locally definable abelian groups $${\mathcal{U}}$$ in various settings and examine conditions under which the quotient of $${\mathcal{U}}$$ by a discrete subgroup might be definable. This turns out to be related to the existence of the type-definable subgroup $${\mathcal{U}^{00}}$$...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Eleftheriou, Pantelis E. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2012 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer Basel AG 2012 |
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| Übergeordnetes Werk: |
Enthalten in: Selecta mathematica - SP Birkhäuser Verlag Basel, 1993, 18(2012), 4 vom: 23. März, Seite 885-903 |
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| Übergeordnetes Werk: |
volume:18 ; year:2012 ; number:4 ; day:23 ; month:03 ; pages:885-903 |
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| DOI / URN: |
10.1007/s00029-012-0091-5 |
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OLC206953975X |
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Abstract We study locally definable abelian groups $${\mathcal{U}}$$ in various settings and examine conditions under which the quotient of $${\mathcal{U}}$$ by a discrete subgroup might be definable. This turns out to be related to the existence of the type-definable subgroup $${\mathcal{U}^{00}}$$ and to the divisibility of $${\mathcal{U}}$$ . © Springer Basel AG 2012 |
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Abstract We study locally definable abelian groups $${\mathcal{U}}$$ in various settings and examine conditions under which the quotient of $${\mathcal{U}}$$ by a discrete subgroup might be definable. This turns out to be related to the existence of the type-definable subgroup $${\mathcal{U}^{00}}$$ and to the divisibility of $${\mathcal{U}}$$ . © Springer Basel AG 2012 |
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Abstract We study locally definable abelian groups $${\mathcal{U}}$$ in various settings and examine conditions under which the quotient of $${\mathcal{U}}$$ by a discrete subgroup might be definable. This turns out to be related to the existence of the type-definable subgroup $${\mathcal{U}^{00}}$$ and to the divisibility of $${\mathcal{U}}$$ . © Springer Basel AG 2012 |
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