140 citations · 1.3k across the 89 of their papers we have counts for
4 papers · 2 filters
Self-similar products of groups
Laurent Bartholdi, Said N. Sidki
We address the problem of determining the class of self-similar groups, and in particular its closure under restricted direct products. We show that the group is…
Group and Lie algebra filtrations and homotopy groups of spheres
Laurent Bartholdi, Roman Mikhailov
We establish a bridge between homotopy groups of spheres and commutator calculus in groups, and solve in this manner the "dimension problem" by providing a converse to Sjogren's th…
An odd order group without the dimension property
Laurent Bartholdi, Roman Mikhailov
We construct a finitely presented group such that the th dimension quotient has an element of order ; this immediately leads to a…
Algorithmic aspects of branched coverings III/V. Erasing maps, orbispaces, and the Birman exact sequence
Laurent Bartholdi, Dzmitry Dudko
Let be a Thurston map and let be its mapping class biset: isotopy classes rel of maps obtained by pre- and…