140 citations · 1.3k across the 89 of their papers we have counts for
4 papers · 1 filter
Rational subsets of groups
Laurent Bartholdi, Pedro V. Silva
This text, Chapter 23 in the "AutoMathA" handbook, is devoted to the study of rational subsets of groups, with particular emphasis on the automata-theoretic approach to finitely ge…
Groups defined by automata
Laurent Bartholdi, Pedro V. Silva
This is Chapter 24 in the "AutoMathA" handbook. Finite automata have been used effectively in recent years to define infinite groups. The two main lines of research have as their m…
Growth of permutational extensions
Laurent Bartholdi, Anna G. Erschler
We study the geometry of a class of group extensions, containing permutational wreath products, which we call "permutational extensions". We construct for all natural number k a to…
Self-similar Lie algebras
Laurent Bartholdi
We give a general definition of self-similar Lie algebras, and show that important examples of Lie algebras fall into that class. We give sufficient conditions for a self-similar L…