Low-dimensional topology and ordering groups

DOI10.2478/s12175-014-0228-4zbMath1337.06012arXiv1403.4870OpenAlexW2094348164MaRDI QIDQ2877075

Dale P. O. Rolfsen

Publication date: 21 August 2014

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.4870

zbMATH Keywords

braid groupsfoliationslocally indicable groupssurface groups3-manifold groupsgroups of homeomorphismsgroup orderings

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Topological methods in group theory (57M07) Ordered groups (06F15) Ordered groups (group-theoretic aspects) (20F60)

Cites Work

• Mom technology and volumes of hyperbolic 3-manifolds
• A finitely generated, locally indicable group with no faithful action by \(C^1\) diffeomorphisms of the interval
• Approximation of analytic functions of two variables by polynomials in the Mittag-Leffler star
• Hecke algebra representations of braid groups and link polynomials
• Orderable 3-manifold groups.
• The space of left orders of a group is either finite or uncountable
• Nielsen-Thurston orders and the space of braid orderings
• Ordered groups, eigenvalues, knots, surgery and L-spaces
• Local indicability in ordered groups: Braids and elementary amenable groups
• Infinitely many hyperbolic 3-manifolds which contain no Reebless foliation
• TOPOLOGY ON THE SPACES OF ORDERINGS OF GROUPS
• A family of groups with a countable infinity of full orders
• A Note on Group Rings of Certain Torsion-Free Groups
• Compact Submanifolds of 3-Manifolds
• Free group automorphisms, invariant orderings and topological applications

This page was built for publication: Low-dimensional topology and ordering groups