A note on stable commutator length in braided Ptolemy-Thompson groups

DOI10.2996/kmj44206OpenAlexW3174522020MaRDI QIDQ1984265

Shuhei Maruyama

Publication date: 13 September 2021

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.12743

zbMATH Keywords

Thompson groupstable commutator lengthquasi-morphism

Mathematics Subject Classification ID

Geometric group theory (20F65) Commutator calculus (20F12)

Related Items (1)

Bavard's duality theorem for mixed commutator length

Uses Software

• sss

Cites Work

• Stable commutator length on mapping class groups
• Scl in graphs of groups
• Irrational stable commutator length in finitely presented groups.
• scl.
• Stable commutator length in word-hyperbolic groups.
• Sur un groupe remarquable de difféomorphismes du cercle. (On a remarkable group of the diffeomorphisms of the circle)
• Stable length of commutators
• Euler and Maslov cocycles
• Introductory notes on Richard Thompson's groups
• Scl in free products
• Gaps in scl for amalgamated free products and RAAGs
• The braided Ptolemy-Thompson group is finitely presented.
• The genus problem for one-relator products of locally indicable groups
• Stable commutator length in Baumslag–Solitar groups and quasimorphisms for tree actions
• Stable Commutator Length in Free Products of Cyclic Groups
• Scl, sails, and surgery
• Stable commutator length is rational in free groups
• Asymptotically rigid mapping class groups and Thompson's groups
• Stable commutator length in amalgamated free products
• Central extensions of the Ptolemy-Thompson group and quantized Teichmüller theory
• Stable length in stable groups
• Spectral gap of scl in free products
• Commutators and diffeomorphisms of surfaces

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