Annals of pure and applied logic, 2023-03, Vol.174 (3), p.103210, Article 103210
2023
Details
- Autor(en) / Beteiligte
- Titel
- A note on μ-stabilizers in ACVF
- Ist Teil von
- Annals of pure and applied logic, 2023-03, Vol.174 (3), p.103210, Article 103210
- Ort / Verlag
- Elsevier B.V
- Erscheinungsjahr
- 2023
- Link zum Volltext
- Quelle
- Access via ScienceDirect (Elsevier)
- Beschreibungen/Notizen
- We study μ-stabilizers for groups definable in ACVF in the valued field sort. We prove that Stabμ(p) is an infinite unbounded definable subgroup of G when p is standard and unbounded. In the particular case when G is linear algebraic, we show that Stabμ(p) is a solvable algebraic subgroup of G, with dim(Stabμ(p))=dim(p) when p is μ-reduced and unbounded.
- Sprache
- Englisch
- Identifikatoren
- ISSN: 0168-0072DOI: 10.1016/j.apal.2022.103210Titel-ID: cdi_crossref_primary_10_1016_j_apal_2022_103210
- Format
- –
- Schlagworte
- ACVF, Definable groups, Topological groups, μ-types and stabilizers