Mapping tori of free group automorphisms are coherent
From MaRDI portal
Publication:1306688
DOI10.2307/121081zbMath0938.20022arXivmath/9905209OpenAlexW2127238711MaRDI QIDQ1306688
Michael Handel, Mark E. Feighn
Publication date: 4 April 2000
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9905209
presentationscoherent groupsfinitely generated subgroupsinjective endomorphismsHNN-extensionsmapping tori
Generators, relations, and presentations of groups (20F05) Topological methods in group theory (57M07) Automorphisms of infinite groups (20E36) Free nonabelian groups (20E05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)
Related Items
COHERENCE, LOCAL INDICABILITY AND NONPOSITIVE IMMERSIONS, Normal subgroups of profinite groups of non-negative deficiency., Dynamics on free-by-cyclic groups, Almost all one-relator groups with at least three generators are residually finite., A McCool Whitehead type theorem for finitely generated subgroups of \(\operatorname{Out}(F_n)\), One-relator Kähler groups, ℓ2$\ell ^2$‐Betti numbers and coherence of random groups, SOME GROUP THEORY PROBLEMS, GROUP RINGS OF COUNTABLE NON-ABELIAN LOCALLY FREE GROUPS ARE PRIMITIVE, The dynamics and geometry of free group endomorphisms, Group rings of proper ascending HNN extensions of countably infinite free groups are primitive., Reflections on the residual finiteness of one-relator groups., Cofinitely Hopfian groups, open mappings and knot complements., Locally quasiconvex small-cancellation groups, Polynomial maps over finite fields and residual finiteness of mapping tori of group endomorphisms, Computing subgroup presentations, using the coherence arguments of McCammond and Wise., An algebraic formulation of Thurston’s combinatorial equivalence, Special groups with an elementary hierarchy are virtually free-by-\(\mathbb Z\)., Irreducibility of a free group endomorphism is a mapping torus invariant, Large groups of deficiency 1., Bass-Serre theory for Lie algebras: a homological approach, A note on the coherence of 3-manifold groups, On the Conjugacy Problem for Cyclic Extensions of Free Groups, Nonpositive immersions, sectional curvature, and subgroup properties, Ascending HNN extensions of polycyclic groups are residually finite., Incoherence and fibering of many free-by-free groups, Asymptotic invariants, complexity of groups and related problems, The Grushko decomposition of a finite graph of finite rank free groups: an algorithm.
