Stable commutator length in word-hyperbolic groups.

DOI10.4171/GGD/75zbMath1227.20040arXivmath/0611889OpenAlexW1995326998MaRDI QIDQ1049913

Danny Calegari, Koji Fujiwara

Publication date: 14 January 2010

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0611889

zbMATH Keywords

conjugacy classeshyperbolic groupsdefectscommutatorsmapping class groupsquasimorphismsstable commutator lengthssymmetric generating setssclaccumulation pointsMineyev flow spacespleated surfaces

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Topological methods in group theory (57M07) Asymptotic properties of groups (20F69) Hyperbolic groups and nonpositively curved groups (20F67) Commutator calculus (20F12)

Related Items

Failure of separation by quasi-homomorphisms in mapping class groups, Stable commutator length in amalgamated free products, Stable specific torsion length and periodic mapping classes, Stable commutator length on mapping class groups, Random rigidity in the free group., Induced quasicocycles on groups with hyperbolically embedded subgroups., Combinatorics of tight geodesics and stable lengths, Aut-invariant quasimorphisms on free products, Word length in surface groups with characteristic generating sets, Stable commutator length in right‐angled Artin and Coxeter groups, Aut-invariant word norm on right-angled Artin and right-angled Coxeter groups, On a group whose generalized torsion elements are torsion elements, The spectrum of simplicial volume, Gaps in scl for amalgamated free products and RAAGs, Spectral gap of scl in free products, A note on stable commutator length in braided Ptolemy-Thompson groups, Stable commutator length in Baumslag–Solitar groups and quasimorphisms for tree actions, Stable commutator length is rational in free groups, Quasi-morphisms via Local Action Data and Quasi-isometries, Large scale geometry of commutator subgroups., Surface groups, infinite generating sets, and stable commutator length, Effective quasimorphisms on right-angled Artin groups, Scl in graphs of groups, Simplicial volume of one-relator groups and stable commutator length

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