About: Švarc–Milnor lemma

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In the mathematical subject of geometric group theory, the Švarc–Milnor lemma (sometimes also called Milnor–Švarc lemma, with both variants also sometimes spelling Švarc as Schwarz) is a statement which says that a group , equipped with a "nice" discrete isometric action on a metric space , is quasi-isometric to .

Attributes	Values
rdfs:label	Satz von Švarc-Milnor (de) Švarc–Milnor lemma (en)
rdfs:comment	Der Satz von Švarc-Milnor (in anderen Transkriptionen auch Satz von Schwartz-Milnor oder Satz von Schwarz-Milnor) ist ein mathematischer Satz aus dem Gebiet der geometrischen Gruppentheorie. Er wurde nach den Mathematikern Albert S. Švarc und John W. Milnor benannt. (de) In the mathematical subject of geometric group theory, the Švarc–Milnor lemma (sometimes also called Milnor–Švarc lemma, with both variants also sometimes spelling Švarc as Schwarz) is a statement which says that a group , equipped with a "nice" discrete isometric action on a metric space , is quasi-isometric to . (en)
dcterms:subject	Geometric group theory Metric geometry
Wikipage page ID	51457085 (xsd:integer)
Wikipage revision ID	1096078684 (xsd:integer)
Link from a Wikipage to another Wikipage	Properly discontinuous action Benson Farb Lie group Quasi-isometry Geometric group theory Compact space Geometric group theory Fundamental group Lattice (discrete subgroup) Albert Schwarz Proper space Richard Schwartz Riemannian metric Group action (mathematics) Metric geometry John Milnor Cocompact group action Metric space Euler characteristic Word metric Universal cover Discrete action Quotient topology Length space Horoball
sameAs	Švarc–Milnor lemma Švarc–Milnor lemma Švarc–Milnor lemma
dbp:wikiPageUsesTemplate	dbt:Reflist
has abstract	Der Satz von Švarc-Milnor (in anderen Transkriptionen auch Satz von Schwartz-Milnor oder Satz von Schwarz-Milnor) ist ein mathematischer Satz aus dem Gebiet der geometrischen Gruppentheorie. Er wurde nach den Mathematikern Albert S. Švarc und John W. Milnor benannt. (de) In the mathematical subject of geometric group theory, the Švarc–Milnor lemma (sometimes also called Milnor–Švarc lemma, with both variants also sometimes spelling Švarc as Schwarz) is a statement which says that a group , equipped with a "nice" discrete isometric action on a metric space , is quasi-isometric to . This result goes back, in different form, before the notion of quasi-isometry was formally introduced, to the work of Albert S. Schwarz (1955) and John Milnor (1968). Pierre de la Harpe called the Švarc–Milnor lemma "the fundamental observation in geometric group theory" because of its importance for the subject. Occasionally the name "fundamental observation in geometric group theory" is now used for this statement, instead of calling it the Švarc–Milnor lemma; see, for example, Theorem 8.2 in the book of Farb and Margalit. (en)
prov:wasDerivedFrom	wikipedia-en:Švarc–Milnor_lemma?oldid=1096078684&ns=0
page length (characters) of wiki page	6574 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Švarc–Milnor_lemma
is Link from a Wikipage to another Wikipage of	Hyperbolic group Quasi-isometry Švarc-Milnor lemma Albert Schwarz John Milnor Schwarz-Milnor lemma Metric space Švarc List of things named after John Milnor
is Wikipage redirect of	Švarc-Milnor lemma Schwarz-Milnor lemma
is Wikipage disambiguates of	Švarc
is known for of	John Milnor
is known for of	John Milnor
is foaf:primaryTopic of	wikipedia-en:Švarc–Milnor_lemma

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