Testing Cayley graph densities.

DOI10.5802/ambp.249zbMath1191.20025OpenAlexW1493077986MaRDI QIDQ960066

Martin Lustig, Victor S. Guba, Jean-Philippe Préaux, Goulnara N. Arzhantseva

Publication date: 16 December 2008

Published in: Annales Mathématiques Blaise Pascal (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AMBP_2008__15_2_233_0

zbMATH Keywords

finitely generated groupsCayley graphsamenabilityThompson group \(F\)computer-assisted group theory

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Software, source code, etc. for problems pertaining to group theory (20-04) Means on groups, semigroups, etc.; amenable groups (43A07) Density (toughness, etc.) (05C42)

Related Items (5)

Random Sampling of Trivial Words in Finitely Presented Groups ⋮ R. Thompson’s group and the amenability problem ⋮ Sub-dominant Cogrowth Behavior and the Viability of Deciding Amenability Numerically ⋮ On the density of Cayley graphs of R.Thompson’s group F in symmetric generators ⋮ A computational approach to the Thompson group F

Cites Work

• Unnamed Item
• Introductory notes on Richard Thompson's groups
• Combinatorial group theory.
• FOREST DIAGRAMS FOR ELEMENTS OF THOMPSON'S GROUP F
• Amenability and paradoxical decompositions for pseudogroups and for discrete metric spaces
• ON THE PROPERTIES OF THE CAYLEY GRAPH OF RICHARD THOMPSON'S GROUP F

This page was built for publication: Testing Cayley graph densities.