Sciweavers

Share
IJAC
2008

A Nilpotent Quotient Algorithm for Certain Infinitely Presented Groups and its Applications

9 years 10 months ago
A Nilpotent Quotient Algorithm for Certain Infinitely Presented Groups and its Applications
We describe a nilpotent quotient algorithm for a certain type of infinite presentations: the so-called finite L-presentations. We then exhibit finite L-presentations for various interesting groups and report on the application of our nilpotent quotient algorithm to them. As result, we obtain conjectural descriptions of the lower central series structure of various interesting groups including the Grigorchuk supergroup, the Brunner-Sidki-Vieira group, the Basilica group, certain generalized FabrykowskiGupta groups and certain generalized Gupta-Sidki groups.
Laurent Bartholdi, Bettina Eick, René Hartu
Added 12 Dec 2010
Updated 12 Dec 2010
Type Journal
Year 2008
Where IJAC
Authors Laurent Bartholdi, Bettina Eick, René Hartung
Comments (0)
books