Finitely generated \(p\)-adic discontinuous groups

DOI10.1007/BF01235375zbMath0438.14020MaRDI QIDQ1141715

Frank Herrlich

Publication date: 1980

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

Mumford curvegroups acting on trees\(p\)-adic Schottky curve

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Subgroup theorems; subgroup growth (20E07) Group actions on varieties or schemes (quotients) (14L30) Arithmetic ground fields for curves (14H25) Local ground fields in algebraic geometry (14G20) Complex Lie groups, group actions on complex spaces (32M05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Non-Archimedean analysis (32P05)

Related Items

Über Singularitäten des Raumes der Schottky-Mumford-Kurven. (On singularities of the space of Schottky-Mumford curves) ⋮ On a geometric description of \(\text{Gal}(\bar{\mathbb Q}_p/\mathbb Q_p)\) and a \(p\)-adic avatar of \(\widehat{GT}\) ⋮ \(p\)-adic discontinuously embeddable graphs of groups ⋮ Cyclic coverings of the \(p\)-adic projective line by Mumford curves ⋮ Non-Archimedean orbifolds covered by Mumford curves ⋮ Degenerating families of dendrograms ⋮ Riemann existence theorems of Mumford type

Cites Work

• Unnamed Item
• The order of the automorphism group of a \(p\)-adic Schottky curve
• Schottky groups and Mumford curves
• Finite and infinite cyclic extensions of free groups
• Unbeschränkte Steinsche Gebiete von P1 und nichtarchimedische automorphe Formen.