Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

Homogeneous actions on the Random Graph

Abstract : We show that any free product of two (non-trivial) countable groups, one of them being infinite, admits a faithful and homogeneous action on the Random Graph. We also show that a large class of HNN extensions or free products, amalgamated over a finite group, admit such an action and we extend our results to groups acting on trees. Finally, we show the ubiquity of finitely generated free dense subgroups of the automorphism group of the Random Graph whose action on it have all orbits infinite .
Document type :
Preprints, Working Papers, ...
Complete list of metadatas

Cited literature [20 references]  Display  Hide  Download
Contributor : Yves Stalder <>
Submitted on : Wednesday, November 27, 2019 - 11:26:52 AM
Last modification on : Friday, April 10, 2020 - 5:31:00 PM


Files produced by the author(s)


  • HAL Id : hal-01902444, version 1


Pierre Fima, Soyoung Moon, Yves Stalder. Homogeneous actions on the Random Graph. 2018. ⟨hal-01902444⟩



Record views


Files downloads