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A list of applications of Stallings automata - MaRDI portal

A list of applications of Stallings automata (Q5104002)

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scientific article; zbMATH DE number 7583266

Language	Label	Description	Also known as
English	A list of applications of Stallings automata	scientific article; zbMATH DE number 7583266

Statements

scholarly article

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Enric Ventura Capell

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publication date

9 September 2022

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full work available at URL

https://arxiv.org/abs/2109.01268

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zbMATH Keywords

free group

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subgroups

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automaton

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foldings

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algorithmic problem

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MaRDI profile type

MaRDI publication profile

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A list of applications of Stallings automata (English)

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The Hanna Neumann conjecture for surface groups

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Kurosh rank of intersections of subgroups of free products of right-orderable groups.

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A property of subgroups of infinite index in a free group

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The class of groups all of whose subgroups with lesser number of generators are free is generic

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Generic properties of finitely presented groups and howson's theorem

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Rational subsets of groups

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Statistical properties of subgroups of free groups

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RANDOM GENERATION OF FINITELY GENERATED SUBGROUPS OF A FREE GROUP

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On the genericity of Whitehead minimality

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Generic properties of subgroups of free groups and finite presentations

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MALNORMALITY IS DECIDABLE IN FREE GROUPS

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Stallings' folds for cube complexes

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Remark on the multiplicity of a partition of a group into cosets

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Bounding the complexity of simplicial group actions on trees

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Train tracks and automorphisms of free groups

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\texttt{PSPACE}-complete problems for subgroups of free groups and inverse finite automata

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Introduction to group theory. Translated from the Russian. With a new chapter.

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An algorithm for finding a basis of the fixed point subgroup of an automorphism of a free group

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On the uniqueness of factors of amalgamated products

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Peripheral splittings of groups

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Statistical properties of finitely presented groups

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About an extension of the Davenport-Rado result to the Herzog-Schonheim conjecture for free groups

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The Herzog–Schönheim conjecture for finitely generated groups

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An Approach to the Herzog-Schönheim Conjecture Using Automata

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Two examples in the Galois theory of free groups.

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All automorphisms of free groups with maximal rank fixed subgroups

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Subgroups of right-angled Coxeter groups via stallings-like techniques

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Controlled Floyd Separation and Non Relatively Hyperbolic Groups

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Algorithmic problems for free-Abelian times free groups.

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Stallings automata for free-times-abelian groups: intersections and index

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COMBINATORIAL GROUP THEORY, INVERSE MONOIDS, AUTOMATA, AND GLOBAL SEMIGROUP THEORY

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On equalizers of sections.

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The Group Fixed by a Family of Injective Endomorphisms of a Free Group

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Groups Acting on Protrees

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A small unstable action on a tree.

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Periodic automorphisms of free groups

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Algorithmic constructions of relative train track maps and CTs

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Sheaves on Graphs, Their Homological Invariants, and a Proof of the Hanna Neumann Conjecture: with an Appendix by Warren Dicks

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Approximations of stable actions on \(\mathbb{R}\)-trees

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Reading small actions of a one-ended hyperbolic group on [inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="01i" /]-trees from its JSJ splitting

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Coset Representations in Free Groups

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Subgroups of Finite Index in Free Groups

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A topology for free groups and related groups

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A remark on Whitehead's cut-vertex lemma

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On the Intersection of Finitely Generated Free Groups

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Endomorphisms of free groups and their fixed points

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ON THE INTERSECTION OF FINITELY GENERATED SUBGROUPS IN FREE PRODUCTS OF GROUPS

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The intersection of subgroups in free groups and linear programming

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Approximation by subgroups of finite index and the Hanna Neumann conjecture

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Stallings foldings and subgroups of free groups

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Genericity, the Arzhantseva-Ol'shanskii method and the isomorphism problem for one-relator groups.

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Random quotients of the modular group are rigid and essentially incompressible

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FOLDINGS, GRAPHS OF GROUPS AND THE MEMBERSHIP PROBLEM

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Stallings graphs for quasi-convex subgroups

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On the Generalized Membership Problem in Relatively Hyperbolic Groups

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On algebraic extensions and decomposition of homomorphisms of free groups

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The Herzog-Schönheim conjecture for small groups and harmonic subgroups

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CLOSED SUBGROUPS IN PRO-V TOPOLOGIES AND THE EXTENSION PROBLEM FOR INVERSE AUTOMATA

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FREE INVERSE MONOIDS AND GRAPH IMMERSIONS

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STALLINGS FOLDINGS AND SUBGROUPS OF AMALGAMS OF FINITE GROUPS

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Intersections of automorphism fixed subgroups in the free group of rank three.

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On automorphism-fixed subgroups of a free group

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Fixed Subgroups are Compressed in Free Groups

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Some finitely presented subgroups of the automorphism group of a free group

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Submultiplicativity and the Hanna Neumann conjecture.

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FULLY RESIDUALLY FREE GROUPS AND GRAPHS LABELED BY INFINITE WORDS

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Membership problem in groups acting freely on \(\mathbb N^n\)-trees.

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FINITE INDEX SUBGROUPS OF FULLY RESIDUALLY FREE GROUPS

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ALMOST EVERY GROUP IS HYPERBOLIC

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Stallings graphs, algebraic extensions and primitive elements in F<sub>2</sub>

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Primitive words, free factors and measure preservation.

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Cyclic splittings of finitely presented groups and the canonical JSJ deccomposition

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ON THE COMPLEXITY OF THE WHITEHEAD MINIMIZATION PROBLEM

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Degrees of compression and inertia for free-abelian times free groups

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Acylindrical accessibility for groups

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Diophantine geometry over groups. I: Makanin-Razborov diagrams

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Finite automata for Schreier graphs of virtually free groups

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On an algorithm to decide whether a free group is a free factor of another

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Topology of finite graphs

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Inverse automata and profinite topologies on a free group

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A FAST ALGORITHM FOR STALLINGS' FOLDING PROCESS

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On fixed subgroups of maximal rank

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Computing fixed closures in free groups.

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Fixed subgroups are compressed in surface groups

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On exactly covering systems of arithmetic sequences

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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10.22108/TOC.2021.130387.1905

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Sitelinks

Mathematics(1 entry)

mardi Publication:5104002

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