Irrational stable commutator length in finitely presented groups.

DOI10.3934/jmd.2008.2.499zbMath1151.20027arXiv0710.0026OpenAlexW2963323441MaRDI QIDQ950641

Dongping Zhuang

Publication date: 30 October 2008

Published in: Journal of Modern Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.0026

zbMATH Keywords

finitely presented groupsproducts of commutatorsstable commutator lengthsgeneralized Thompson groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Dynamical systems involving maps of the circle (37E10) Topological methods in group theory (57M07) Commutator calculus (20F12) Rotation numbers and vectors (37E45)

Related Items (11)

Scl in free products ⋮ Stable commutator length in amalgamated free products ⋮ The stable 4-genus of knots ⋮ Bavard's duality theorem for mixed commutator length ⋮ Second bounded cohomology of groups acting on 1-manifolds and applications to spectrum problems ⋮ Stable commutator length in right‐angled Artin and Coxeter groups ⋮ The spectrum of simplicial volume ⋮ A note on stable commutator length in braided Ptolemy-Thompson groups ⋮ Statistics and compression of scl ⋮ Stable commutator length is rational in free groups ⋮ Stable Commutator Length in Free Products of Cyclic Groups

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