6533b82bfe1ef96bd128e343

RESEARCH PRODUCT

Highly transitive actions of free products

Soyoung MoonYves Stalder

subject

Transitive actionHighly transitive actionsMSC: Primary: 20B22 20E06Group Theory (math.GR)01 natural sciencesBaire category Theorem[MATH.MATH-GR]Mathematics [math]/Group Theory [math.GR]CombinatoricsFree products0103 physical sciencesFOS: MathematicsCountable set0101 mathematics20B22MathematicsTransitive relation20E06Group (mathematics)Mathematics::Operator Algebras010102 general mathematics20E06 20B2216. Peace & justiceFree productBaire category theorem010307 mathematical physicsGeometry and TopologyMathematics - Group Theory

description

We characterize free products admitting a faithful and highly transitive action. In particular, we show that the group $\PSL_2(\Z)\simeq (\Z/2\Z)*(\Z/3\Z)$ admits a faithful and highly transitive action on a countable set.

yearjournalcountryeditionlanguage
2013-03-23
10.2140/agt.2013.13.589https://hal.archives-ouvertes.fr/hal-01902213