140 citations · 1.3k across the 89 of their papers we have counts for
4 papers · 1 filter
The 2-dimension series of the just-nonsolvable BSV group
Laurent Bartholdi
I compute the structure of the restricted 2-algebra associated to a group first described by Andrew Brunner, Said Sidki and Ana Cristina Vieira, acting on the binary rooted tree. I…
Cactus Trees, and Estimations of the Spectral Radius of Vertex-Transitive Graphs
Laurent Bartholdi
This paper gives lower bounds on the spectral radius of vertex-transitive graphs, based on the number of ``prime cycles'' at a vertex. The bounds are obtained by constructing circu…
The 2-dimension series of the just-nonsolvable BSV group
Laurent Bartholdi
I also submitted this paper as math.GR/0112109... it is therefore withdrawn from math.GR/0104076
Lie Algebras and Growth in Branch Groups
Laurent Bartholdi
We compute the structure of the Lie algebras associated to two examples of branch groups, and show that one has finite width while the other, the ``Gupta-Sidki group'', has unbound…