Inverse automata and profinite topologies on a free group
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Publication:5957776
DOI10.1016/S0022-4049(01)00030-5zbMath0999.20016MaRDI QIDQ5957776
Publication date: 5 September 2002
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
finitely generated subgroupsfree groupsprofinite topologypseudovarieties of finite groupsfinite direct productsfinite monoidsinverse automatarational subsets
General structure theory for semigroups (20M10) Semigroups in automata theory, linguistics, etc. (20M35) Free nonabelian groups (20E05) Quasivarieties and varieties of groups (20E10) Inverse semigroups (20M18) Limits, profinite groups (20E18)
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Cites Work
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- Presentations of inverse monoids
- Topology of finite graphs
- E-unitary inverse monoids and the Cayley graph of a group presentation
- Finite state automata: A geometric approach
- INEVITABLE GRAPHS: A PROOF OF THE TYPE II CONJECTURE AND SOME RELATED DECISION PROCEDURES
- A Conjecture on the Hall Topology for the Free Group
- ASH'S TYPE II THEOREM, PROFINITE TOPOLOGY AND MALCEV PRODUCTS: PART I
- On The Profinite Topology on a Free Group
- THE PRO-p TOPOLOGY OF A FREE GROUP AND ALGORITHMIC PROBLEMS IN SEMIGROUPS
- REDUCED FACTORIZATIONS IN FREE PROFINITE GROUPS AND JOIN DECOMPOSITIONS OF PSEUDOVARIETIES
- INEVITABLE GRAPHS AND PROFINITE TOPOLOGIES: SOME SOLUTIONS TO ALGORITHMIC PROBLEMS IN MONOID AND AUTOMATA THEORY, STEMMING FROM GROUP THEORY
- CLOSED SUBGROUPS IN PRO-V TOPOLOGIES AND THE EXTENSION PROBLEM FOR INVERSE AUTOMATA
- ON SEPARABILITY PROPERTIES OF GROUPS
- Extending partial automorphisms and the profinite topology on free groups
- A topology for free groups and related groups