3 papers
math.GR2025
On the classification of CW complexes with prescribed links
Sylvain Barré, Mikaël Pichot
Reporting on a computer--assisted search for nonpositively curved CW complexes of intermediate rank conducted some years ago. Not intended for publication.
math.CO2025
The odd triangle ring puzzle problem
Sylvain Barré, Othmane Oukrid, Mikaël Pichot
Ring puzzles are tessellations of the Euclidean plane respecting local constraints around vertices. Such puzzles may arise in geometric group theory, for example, as embedded flat…
math.GR2008
The 4-string Braid group has property RD and exponential mesoscopic rank
Sylvain Barré, Mikael Pichot
We prove that the braid group on 4 strings, as well as its central quotient , have the property RD of Haagerup-Jolissaint. It follows that the automorphism group $\…