Extending partial automorphisms and the profinite topology on free groups
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Publication:4942868
DOI10.1090/S0002-9947-99-02374-0zbMath0947.20018MaRDI QIDQ4942868
Bernhard Herwig, Daniel Lascar
Publication date: 15 March 2000
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
free groupsprofinite topologiespartial automorphismsprosolvable topologiesproducts of finitely generated subgroups
Subgroup theorems; subgroup growth (20E07) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Automorphisms of infinite groups (20E36) Free nonabelian groups (20E05) Directed graphs (digraphs), tournaments (05C20) Automorphisms and endomorphisms of algebraic structures (08A35) Limits, profinite groups (20E18)
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Cites Work
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- Extending partial isomorphisms for the small index property of many \(\omega\)-categorical structures
- Extending partial isomorphisms on finite structures
- INEVITABLE GRAPHS: A PROOF OF THE TYPE II CONJECTURE AND SOME RELATED DECISION PROCEDURES
- The Small Index Property for ω‐Stable ω‐Categorical Structures and for the Random Graph
- On The Profinite Topology on a Free Group
- HYPERDECIDABLE PSEUDOVARIETIES AND THE CALCULATION OF SEMIDIRECT PRODUCTS
- A topology for free groups and related groups
