Countable groups are mapping class groups of hyperbolic 3-manifolds

DOI10.4310/MRL.2006.V13.N6.A5zbMath1111.57014arXivmath/0509311OpenAlexW2018463424MaRDI QIDQ862065

Roberto Frigerio, Bruno Martelli

Publication date: 5 February 2007

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0509311

zbMATH Keywords

hyperbolic 3-manifoldsKleinian groupsspecial polyhedra

Mathematics Subject Classification ID

Topological methods in group theory (57M07) General geometric structures on low-dimensional manifolds (57M50) Fundamental group, presentations, free differential calculus (57M05) Representations of groups as automorphism groups of algebraic systems (20F29) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)

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The Bass-Jiang group for automorphism-induced HNN-extensions ⋮ On the outer automorphism groups of finitely generated, residually finite groups. ⋮ Every group is the outer automorphism group of an HNN-extension of a fixed triangle group

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