Endomorphic presentations of branch groups

By Laurent Bartholdi. 2000

72 citations recorded by the source corpus.

We introduce “endomorphic presentations,” or L-presentations: group presentations whose relations are iterated under a set of substitutions on the generating set, and show that a broad class of groups acting on rooted trees admit explicitly constructible finite L-presentations, generalising results by Igor Lysionok and Said Sidki.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/772185069b33ce6c698fcb78df4d9349dcfeaff8

How researchers see this paper

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In Geometry and Topology

1. Rostislav I. Grigorchuk
2. Volodymyr V. Nekrashevych
3. Miklós Abért
4. Zoran Sunic
5. B'alint Vir'ag
6. Ievgen V. Bondarenko
7. Laurent Bartholdi

In Mathematical Physics

1. Rostislav I. Grigorchuk
2. Yaroslav Vorobets
3. Volodymyr V. Nekrashevych
4. Zoran Sunic

Citations in the corpus

• Some topics in the dynamics of group actions on rooted trees (2011, background): “They are related to substitution dynamical systems (which arise when finding presentations of groups by generators and relations) [129, 97, 14].”