The number of non-solutions of an equation in a group

DOI10.1515/jgth.2005.8.6.747zbMath1101.20021arXivmath/0411156OpenAlexW3106055800MaRDI QIDQ5718045

Anton A. Klyachko, Anton Trofimov

Publication date: 13 January 2006

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0411156

zbMATH Keywords

equations over groupsfinitely generated torsion-free groupsHausdorff group topologies

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Cancellation theory of groups; application of van Kampen diagrams (20F06)

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Supergeneric equations ⋮ Zariski topology and Markov topology on groups ⋮ Rigid actions of amenable groups ⋮ Topologizability of countable equationally Noetherian algebras ⋮ On topologizable and non-topologizable groups ⋮ The Markov-Zariski topology of an abelian group ⋮ Topologizations of \(G\)-spaces ⋮ Algebraically determined topologies on permutation groups. ⋮ Reflection principle characterizing groups in which unconditionally closed sets are algebraic ⋮ Topologizations of a set endowed with an action of a monoid ⋮ Lower continuous topological groups

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