Automata and finite order elements in the Nottingham group
DOI10.1016/j.jalgebra.2022.03.019zbMath1503.11063arXiv2008.04971OpenAlexW4220714087MaRDI QIDQ2132478
Gunther Cornelissen, Djurre Tijsma, Jakub Byszewski
Publication date: 28 April 2022
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2008.04971
Conjugacy classes for groups (20E45) Number-theoretic algorithms; complexity (11Y16) Algebraic theory of languages and automata (68Q70) Curves over finite and local fields (11G20) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Automata sequences (11B85) Class field theory; (p)-adic formal groups (11S31)
Related Items (1)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Automatic congruences for diagonals of rational functions
- A universal deformation ring of higher conductor
- On vanishing coefficients of algebraic power series over fields of positive characteristic
- Liftings of coverings of weakly ramified curves
- Conjugacy classes of series in positive characteristic and Witt vectors
- Local-to-global extensions of representations of fundamental groups
- Representation of Witt vectors by formal power series and its applications
- Ensembles presque périodiques \(k\)-reconnaissables. (Almost periodic \(k\)-recognizable sets)
- The Magma algebra system. I: The user language
- Subgroups of the Nottingham group
- Equivariant deformation of Mumford curves and of ordinary curves in positive characteristic
- Endomorphic presentations of branch groups.
- Formal deformations of wildly ramified coverings of algebraic curves
- The local lifting problem for \(D_4\)
- \textsc{IntegerSequences}: a package for computing with \(k\)-regular sequences
- Realizing deformations of curves using Lubin-Tate formal groups
- Automorphisms of the Nottingham group
- A refinement of Christol's theorem for algebraic power series
- A cohomological treatise of HKG-covers with applications to the Nottingham group
- Torsion elements of order \(p^2\) in the Nottingham group
- Gowers norms for the Thue-Morse and Rudin-Shapiro sequences
- Explicit embeddings of finite abelian \(p\)-groups in the group \(\mathcal J(\mathbb F_p)\).
- Which weakly ramified group actions admit a universal formal deformation?
- Formal complex multiplication in local fields
- Automorphisms of Harbater-Katz-Gabber curves
- Automatic sequences and curves over finite fields
- Algebra. Volume II: Fields with structure, algebras and advanced topics. Transl. from the German by Silvio Levy. With the collaboration of the translator
- Algebraic functions over finite fields
- On the Probability of Being Synchronizable
- Torsion in the Nottingham group
- On the commensurator of the Nottingham group
- Algebraic Function Fields and Codes
- A decision method for the recognizability of sets defined by number systems
- Moduli of p-covers of curves
- Suites algébriques, automates et substitutions
- Explicit Class Field Theory for Rational Function Fields
- Automatic Sequences
- On just infinite pro-p-groups and arithmetically profinite extensions of local fields
- Characterizing regular languages with polynomial densities
- Automatic Sequences and Generalised Polynomials
- Diagonalization and Rationalization of algebraic Laurent series
- On the base-dependence of sets of numbers recognizable by finite automata
- Uniform tag sequences
- Zur Entartung schwach verzweigter Gruppenoperationen auf Kurven
- Substitution Groups of Formal Power Series
- Powers of elements of the series substitution group \(\mathcal J(\mathbb Z_2)\).
- Fast coefficient computation for algebraic power series in positive characteristic
This page was built for publication: Automata and finite order elements in the Nottingham group
