Search results for "MSC: Primary: 20B22"

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Highly transitive actions of free products

2013

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.

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
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