ASCENDING HNN EXTENSIONS OF FINITELY GENERATED FREE GROUPS ARE HOPFIAN
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Publication:3152281
DOI10.1017/S0024609301007986zbMath1028.20020MaRDI QIDQ3152281
Ross Geoghegan, Daniel T. Wise, Michael L. Mihalik, Mark V. Sapir
Publication date: 22 October 2002
Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)
Cohomology of groups (20J06) Automorphisms of infinite groups (20E36) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Residual properties and generalizations; residually finite groups (20E26)
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Alexander and Thurston norms, and the Bieri-Neumann-Strebel invariants for free-by-cyclic groups ⋮ McMullen polynomials and Lipschitz flows for free-by-cyclic groups ⋮ Dynamics on free-by-cyclic groups ⋮ GROUP RINGS OF COUNTABLE NON-ABELIAN LOCALLY FREE GROUPS ARE PRIMITIVE ⋮ Group rings of proper ascending HNN extensions of countably infinite free groups are primitive. ⋮ The BNSR-invariants of the Stein group \(F_{2,3}\) ⋮ Cofinitely Hopfian groups, open mappings and knot complements. ⋮ Polynomial maps over finite fields and residual finiteness of mapping tori of group endomorphisms ⋮ An algebraic formulation of Thurston’s combinatorial equivalence ⋮ Large groups of deficiency 1. ⋮ The Bieri-Neumann-Strebel invariants via Newton polytopes ⋮ Ascending HNN extensions of polycyclic groups are residually finite. ⋮ HNN decompositions of the Lodha–Moore groups, and topological applications ⋮ Handlebody bundles and polytopes ⋮ Mapping tori of endomorphisms of free groups ⋮ Geometric structures related to the braided Thompson groups ⋮ The Grushko decomposition of a finite graph of finite rank free groups: an algorithm.
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