THE CANCELLATION NORM AND THE GEOMETRY OF BI-INVARIANT WORD METRICS

DOI10.1017/S0017089515000129zbMath1376.20045arXiv1310.2921MaRDI QIDQ3461916

Michael Brandenbursky, Światosław R. Gal, Michał Marcinkowski, Jarosław Kȩdra

Publication date: 18 January 2016

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

Full work available at URL: https://arxiv.org/abs/1310.2921

zbMATH Keywords

homogeneous quasimorphismsbi-invariant Cayley graphbi-invariant word metrics on groupsfinitely-generated free group

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Free nonabelian groups (20E05)

Related Items (6)

Concordance group and stable commutator length in braid groups ⋮ Aut-invariant word norm on right-angled Artin and right-angled Coxeter groups ⋮ The Khinchin-Kahane and Lévy inequalities for abelian metric groups, and transfer from normed (abelian semi)groups to Banach spaces ⋮ From curves to words and back again: geometric computation of minimum-area homotopy ⋮ On Lipschitz functions on groups equipped with conjugation-invariant norms ⋮ Aut-invariant norms and Aut-invariant quasimorphisms on free and surface groups

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