On geometric aspects of diffuse groups. With an appendix by Nathan Dunfield.

zbMath1410.22004MaRDI QIDQ321885

Steffen Kionke, Jean Raimbault

Publication date: 14 October 2016

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

Full work available at URL: http://www.emis.de/journals/DMJDMV/vol-21/24.html

zbMATH Keywords

hyperbolic manifoldsorderable groupsBieberbach groupsdiscrete subgroups of Lie groups

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) Discrete subgroups of Lie groups (22E40) Other geometric groups, including crystallographic groups (20H15) Software, source code, etc. for problems pertaining to group theory (20-04) Ordered groups (06F15)

Related Items (12)

Left orders in Garside groups ⋮ Unique product groups and congruence subgroups ⋮ A short note about diffuse Bieberbach groups ⋮ The number of locally invariant orderings of a group ⋮ Generic algebraic properties in spaces of enumerated groups ⋮ Generalizations of the Burns–Hale theorem ⋮ On Structure Groups of Set-Theoretic Solutions to the Yang–Baxter Equation ⋮ Retractability of solutions to the Yang–Baxter equation and p-nilpotency of skew braces ⋮ A counterexample to the unit conjecture for group rings ⋮ Finite index subgroups without unique product in graphical small cancellation groups: Figure 1. ⋮ Connective Bieberbach groups ⋮ Fibering flat manifolds of diagonal type and their fundamental groups

Uses Software

• GAP
• Magma
• SageMath
• Snap

This page was built for publication: On geometric aspects of diffuse groups. With an appendix by Nathan Dunfield.