Matches in SemOpenAlex for { <https://semopenalex.org/work/W2061880887> ?p ?o ?g. }
Showing items 1 to 60 of
60
with 100 items per page.
- W2061880887 endingPage "2676" @default.
- W2061880887 startingPage "2669" @default.
- W2061880887 abstract "Recently, it has been shown by Harbater and Stevenson that a profinite group <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper G> <mml:semantics> <mml:mi>G</mml:mi> <mml:annotation encoding=application/x-tex>G</mml:annotation> </mml:semantics> </mml:math> </inline-formula> is free profinite of infinite rank <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=m> <mml:semantics> <mml:mi>m</mml:mi> <mml:annotation encoding=application/x-tex>m</mml:annotation> </mml:semantics> </mml:math> </inline-formula> if and only if <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper G> <mml:semantics> <mml:mi>G</mml:mi> <mml:annotation encoding=application/x-tex>G</mml:annotation> </mml:semantics> </mml:math> </inline-formula> is projective and <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=m> <mml:semantics> <mml:mi>m</mml:mi> <mml:annotation encoding=application/x-tex>m</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-quasifree. The latter condition requires the existence of <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=m> <mml:semantics> <mml:mi>m</mml:mi> <mml:annotation encoding=application/x-tex>m</mml:annotation> </mml:semantics> </mml:math> </inline-formula> distinct solutions to certain embedding problems for <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper G> <mml:semantics> <mml:mi>G</mml:mi> <mml:annotation encoding=application/x-tex>G</mml:annotation> </mml:semantics> </mml:math> </inline-formula>. In this paper we provide several new non-trivial examples of <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=m> <mml:semantics> <mml:mi>m</mml:mi> <mml:annotation encoding=application/x-tex>m</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-quasifree groups, projective and non-projective. Our main result is that open subgroups of <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=m> <mml:semantics> <mml:mi>m</mml:mi> <mml:annotation encoding=application/x-tex>m</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-quasifree groups are <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=m> <mml:semantics> <mml:mi>m</mml:mi> <mml:annotation encoding=application/x-tex>m</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-quasifree." @default.
- W2061880887 created "2016-06-24" @default.
- W2061880887 creator A5038658537 @default.
- W2061880887 creator A5047501764 @default.
- W2061880887 creator A5060751115 @default.
- W2061880887 date "2007-02-09" @default.
- W2061880887 modified "2023-09-27" @default.
- W2061880887 title "On quasifree profinite groups" @default.
- W2061880887 cites W1974068521 @default.
- W2061880887 cites W2319753828 @default.
- W2061880887 cites W4246912661 @default.
- W2061880887 doi "https://doi.org/10.1090/s0002-9939-07-08892-2" @default.
- W2061880887 hasPublicationYear "2007" @default.
- W2061880887 type Work @default.
- W2061880887 sameAs 2061880887 @default.
- W2061880887 citedByCount "3" @default.
- W2061880887 crossrefType "journal-article" @default.
- W2061880887 hasAuthorship W2061880887A5038658537 @default.
- W2061880887 hasAuthorship W2061880887A5047501764 @default.
- W2061880887 hasAuthorship W2061880887A5060751115 @default.
- W2061880887 hasBestOaLocation W20618808871 @default.
- W2061880887 hasConcept C11413529 @default.
- W2061880887 hasConcept C154945302 @default.
- W2061880887 hasConcept C184337299 @default.
- W2061880887 hasConcept C18903297 @default.
- W2061880887 hasConcept C199360897 @default.
- W2061880887 hasConcept C2776321320 @default.
- W2061880887 hasConcept C2777299769 @default.
- W2061880887 hasConcept C41008148 @default.
- W2061880887 hasConcept C86803240 @default.
- W2061880887 hasConceptScore W2061880887C11413529 @default.
- W2061880887 hasConceptScore W2061880887C154945302 @default.
- W2061880887 hasConceptScore W2061880887C184337299 @default.
- W2061880887 hasConceptScore W2061880887C18903297 @default.
- W2061880887 hasConceptScore W2061880887C199360897 @default.
- W2061880887 hasConceptScore W2061880887C2776321320 @default.
- W2061880887 hasConceptScore W2061880887C2777299769 @default.
- W2061880887 hasConceptScore W2061880887C41008148 @default.
- W2061880887 hasConceptScore W2061880887C86803240 @default.
- W2061880887 hasIssue "9" @default.
- W2061880887 hasLocation W20618808871 @default.
- W2061880887 hasOpenAccess W2061880887 @default.
- W2061880887 hasPrimaryLocation W20618808871 @default.
- W2061880887 hasRelatedWork W1490908374 @default.
- W2061880887 hasRelatedWork W151193258 @default.
- W2061880887 hasRelatedWork W1529400504 @default.
- W2061880887 hasRelatedWork W1549203972 @default.
- W2061880887 hasRelatedWork W1607472309 @default.
- W2061880887 hasRelatedWork W1871911958 @default.
- W2061880887 hasRelatedWork W1892467659 @default.
- W2061880887 hasRelatedWork W2808586768 @default.
- W2061880887 hasRelatedWork W2998403542 @default.
- W2061880887 hasRelatedWork W3214915308 @default.
- W2061880887 hasVolume "135" @default.
- W2061880887 isParatext "false" @default.
- W2061880887 isRetracted "false" @default.
- W2061880887 magId "2061880887" @default.
- W2061880887 workType "article" @default.