Matches in SemOpenAlex for { <https://semopenalex.org/work/W2946163478> ?p ?o ?g. }
- W2946163478 abstract "Let $G$ be a finitely generated group acting faithfully and properly discontinuously by homeomorphisms on a planar surface $X subseteq mathbb{S}^2$. We prove that $G$ admits such an action that is in addition co-compact, provided we can replace $X$ by another surface $Y subseteq mathbb{S}^2$. We also prove that if a group $H$ has a finitely generated Cayley (multi-)graph $C$ covariantly embeddable in $mathbb{S}^2$, then $C$ can be chosen so as to have no infinite path on the boundary of a face. The proofs of these facts are intertwined, and the classes of groups they define coincide. In the orientation-preserving case they are exactly the (isomorphism types of) finitely generated Kleinian function groups. We construct a finitely generated planar Cayley graph whose group is not in this class. In passing, we observe that the Freudenthal compactification of every planar surface is homeomorphic to the sphere." @default.
- W2946163478 created "2019-05-29" @default.
- W2946163478 creator A5061366186 @default.
- W2946163478 date "2019-05-16" @default.
- W2946163478 modified "2023-09-27" @default.
- W2946163478 title "On planar Cayley graphs and Kleinian groups" @default.
- W2946163478 cites W1518126878 @default.
- W2946163478 cites W1533061882 @default.
- W2946163478 cites W1536001468 @default.
- W2946163478 cites W1558715209 @default.
- W2946163478 cites W1585054533 @default.
- W2946163478 cites W1604068860 @default.
- W2946163478 cites W1896735655 @default.
- W2946163478 cites W1972106208 @default.
- W2946163478 cites W1978174880 @default.
- W2946163478 cites W1991490328 @default.
- W2946163478 cites W1995632106 @default.
- W2946163478 cites W1996619442 @default.
- W2946163478 cites W1997160882 @default.
- W2946163478 cites W2000171762 @default.
- W2946163478 cites W2009678926 @default.
- W2946163478 cites W2010142885 @default.
- W2946163478 cites W2027884001 @default.
- W2946163478 cites W2029647773 @default.
- W2946163478 cites W2030684927 @default.
- W2946163478 cites W2044720368 @default.
- W2946163478 cites W2052919418 @default.
- W2946163478 cites W2059136860 @default.
- W2946163478 cites W2068774711 @default.
- W2946163478 cites W2101268641 @default.
- W2946163478 cites W2144614595 @default.
- W2946163478 cites W2153279145 @default.
- W2946163478 cites W2166832684 @default.
- W2946163478 cites W2797119506 @default.
- W2946163478 cites W2963092503 @default.
- W2946163478 cites W2986365208 @default.
- W2946163478 cites W3040586665 @default.
- W2946163478 cites W56959229 @default.
- W2946163478 hasPublicationYear "2019" @default.
- W2946163478 type Work @default.
- W2946163478 sameAs 2946163478 @default.
- W2946163478 citedByCount "0" @default.
- W2946163478 crossrefType "posted-content" @default.
- W2946163478 hasAuthorship W2946163478A5061366186 @default.
- W2946163478 hasConcept C101837359 @default.
- W2946163478 hasConcept C108710211 @default.
- W2946163478 hasConcept C114614502 @default.
- W2946163478 hasConcept C115624301 @default.
- W2946163478 hasConcept C120204988 @default.
- W2946163478 hasConcept C121684516 @default.
- W2946163478 hasConcept C132525143 @default.
- W2946163478 hasConcept C134786449 @default.
- W2946163478 hasConcept C162860070 @default.
- W2946163478 hasConcept C185592680 @default.
- W2946163478 hasConcept C196278274 @default.
- W2946163478 hasConcept C202444582 @default.
- W2946163478 hasConcept C203436722 @default.
- W2946163478 hasConcept C203776342 @default.
- W2946163478 hasConcept C22149727 @default.
- W2946163478 hasConcept C2524010 @default.
- W2946163478 hasConcept C2776799497 @default.
- W2946163478 hasConcept C2780811992 @default.
- W2946163478 hasConcept C33923547 @default.
- W2946163478 hasConcept C4093544 @default.
- W2946163478 hasConcept C41008148 @default.
- W2946163478 hasConcept C58249144 @default.
- W2946163478 hasConcept C8010536 @default.
- W2946163478 hasConceptScore W2946163478C101837359 @default.
- W2946163478 hasConceptScore W2946163478C108710211 @default.
- W2946163478 hasConceptScore W2946163478C114614502 @default.
- W2946163478 hasConceptScore W2946163478C115624301 @default.
- W2946163478 hasConceptScore W2946163478C120204988 @default.
- W2946163478 hasConceptScore W2946163478C121684516 @default.
- W2946163478 hasConceptScore W2946163478C132525143 @default.
- W2946163478 hasConceptScore W2946163478C134786449 @default.
- W2946163478 hasConceptScore W2946163478C162860070 @default.
- W2946163478 hasConceptScore W2946163478C185592680 @default.
- W2946163478 hasConceptScore W2946163478C196278274 @default.
- W2946163478 hasConceptScore W2946163478C202444582 @default.
- W2946163478 hasConceptScore W2946163478C203436722 @default.
- W2946163478 hasConceptScore W2946163478C203776342 @default.
- W2946163478 hasConceptScore W2946163478C22149727 @default.
- W2946163478 hasConceptScore W2946163478C2524010 @default.
- W2946163478 hasConceptScore W2946163478C2776799497 @default.
- W2946163478 hasConceptScore W2946163478C2780811992 @default.
- W2946163478 hasConceptScore W2946163478C33923547 @default.
- W2946163478 hasConceptScore W2946163478C4093544 @default.
- W2946163478 hasConceptScore W2946163478C41008148 @default.
- W2946163478 hasConceptScore W2946163478C58249144 @default.
- W2946163478 hasConceptScore W2946163478C8010536 @default.
- W2946163478 hasLocation W29461634781 @default.
- W2946163478 hasOpenAccess W2946163478 @default.
- W2946163478 hasPrimaryLocation W29461634781 @default.
- W2946163478 hasRelatedWork W1570296778 @default.
- W2946163478 hasRelatedWork W1834426001 @default.
- W2946163478 hasRelatedWork W1942887994 @default.
- W2946163478 hasRelatedWork W1996619442 @default.
- W2946163478 hasRelatedWork W2020496428 @default.
- W2946163478 hasRelatedWork W2032543488 @default.
- W2946163478 hasRelatedWork W2058979353 @default.