FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W1996324305> ?p ?o ?g. }

• W1996324305 endingPage "3208" @default.
• W1996324305 startingPage "3185" @default.
• W1996324305 abstract "A fully irreducible outer automorphism <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=phi> <mml:semantics> <mml:mi>ϕ<!-- ϕ --></mml:mi> <mml:annotation encoding=application/x-tex>phi</mml:annotation> </mml:semantics> </mml:math> </inline-formula> of the free group <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper F Subscript n> <mml:semantics> <mml:msub> <mml:mi>F</mml:mi> <mml:mi>n</mml:mi> </mml:msub> <mml:annotation encoding=application/x-tex>F_n</mml:annotation> </mml:semantics> </mml:math> </inline-formula> of rank <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=n> <mml:semantics> <mml:mi>n</mml:mi> <mml:annotation encoding=application/x-tex>n</mml:annotation> </mml:semantics> </mml:math> </inline-formula> has an expansion factor which often differs from the expansion factor of <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=phi Superscript negative 1> <mml:semantics> <mml:msup> <mml:mi>ϕ<!-- ϕ --></mml:mi> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mo>−<!-- − --></mml:mo> <mml:mn>1</mml:mn> </mml:mrow> </mml:msup> <mml:annotation encoding=application/x-tex>phi ^{-1}</mml:annotation> </mml:semantics> </mml:math> </inline-formula>. Nevertheless, we prove that the ratio between the logarithms of the expansion factors of <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=phi> <mml:semantics> <mml:mi>ϕ<!-- ϕ --></mml:mi> <mml:annotation encoding=application/x-tex>phi</mml:annotation> </mml:semantics> </mml:math> </inline-formula> and <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=phi Superscript negative 1> <mml:semantics> <mml:msup> <mml:mi>ϕ<!-- ϕ --></mml:mi> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mo>−<!-- − --></mml:mo> <mml:mn>1</mml:mn> </mml:mrow> </mml:msup> <mml:annotation encoding=application/x-tex>phi ^{-1}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> is bounded above by a constant depending only on the rank <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=n> <mml:semantics> <mml:mi>n</mml:mi> <mml:annotation encoding=application/x-tex>n</mml:annotation> </mml:semantics> </mml:math> </inline-formula>. We also prove a more general theorem applying to an arbitrary outer automorphism of <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper F Subscript n> <mml:semantics> <mml:msub> <mml:mi>F</mml:mi> <mml:mi>n</mml:mi> </mml:msub> <mml:annotation encoding=application/x-tex>F_n</mml:annotation> </mml:semantics> </mml:math> </inline-formula> and its inverse and their two spectrums of expansion factors." @default.
• W1996324305 created "2016-06-24" @default.
• W1996324305 creator A5043681655 @default.
• W1996324305 creator A5077240454 @default.
• W1996324305 date "2007-02-08" @default.
• W1996324305 modified "2023-10-17" @default.
• W1996324305 title "The expansion factors of an outer automorphism and its inverse" @default.
• W1996324305 cites W1971745120 @default.
• W1996324305 cites W1983883140 @default.
• W1996324305 cites W2034592120 @default.
• W1996324305 cites W2153632678 @default.
• W1996324305 cites W3008401439 @default.
• W1996324305 cites W54401119 @default.
• W1996324305 doi "https://doi.org/10.1090/s0002-9947-07-04066-4" @default.
• W1996324305 hasPublicationYear "2007" @default.
• W1996324305 type Work @default.
• W1996324305 sameAs 1996324305 @default.
• W1996324305 citedByCount "25" @default.
• W1996324305 countsByYear W19963243052012 @default.
• W1996324305 countsByYear W19963243052014 @default.
• W1996324305 countsByYear W19963243052015 @default.
• W1996324305 countsByYear W19963243052017 @default.
• W1996324305 countsByYear W19963243052018 @default.
• W1996324305 countsByYear W19963243052019 @default.
• W1996324305 countsByYear W19963243052023 @default.
• W1996324305 crossrefType "journal-article" @default.
• W1996324305 hasAuthorship W1996324305A5043681655 @default.
• W1996324305 hasAuthorship W1996324305A5077240454 @default.
• W1996324305 hasBestOaLocation W19963243051 @default.
• W1996324305 hasConcept C11413529 @default.
• W1996324305 hasConcept C154945302 @default.
• W1996324305 hasConcept C18903297 @default.
• W1996324305 hasConcept C2776321320 @default.
• W1996324305 hasConcept C2777299769 @default.
• W1996324305 hasConcept C33923547 @default.
• W1996324305 hasConcept C41008148 @default.
• W1996324305 hasConcept C86803240 @default.
• W1996324305 hasConceptScore W1996324305C11413529 @default.
• W1996324305 hasConceptScore W1996324305C154945302 @default.
• W1996324305 hasConceptScore W1996324305C18903297 @default.
• W1996324305 hasConceptScore W1996324305C2776321320 @default.
• W1996324305 hasConceptScore W1996324305C2777299769 @default.
• W1996324305 hasConceptScore W1996324305C33923547 @default.
• W1996324305 hasConceptScore W1996324305C41008148 @default.
• W1996324305 hasConceptScore W1996324305C86803240 @default.
• W1996324305 hasIssue "7" @default.
• W1996324305 hasLocation W19963243051 @default.
• W1996324305 hasLocation W19963243052 @default.
• W1996324305 hasLocation W19963243053 @default.
• W1996324305 hasOpenAccess W1996324305 @default.
• W1996324305 hasPrimaryLocation W19963243051 @default.
• W1996324305 hasRelatedWork W151193258 @default.
• W1996324305 hasRelatedWork W1529400504 @default.
• W1996324305 hasRelatedWork W1607472309 @default.
• W1996324305 hasRelatedWork W1871911958 @default.
• W1996324305 hasRelatedWork W1892467659 @default.
• W1996324305 hasRelatedWork W2348710178 @default.
• W1996324305 hasRelatedWork W2349865494 @default.
• W1996324305 hasRelatedWork W2808586768 @default.
• W1996324305 hasRelatedWork W2998403542 @default.
• W1996324305 hasRelatedWork W3107474891 @default.
• W1996324305 hasVolume "359" @default.
• W1996324305 isParatext "false" @default.
• W1996324305 isRetracted "false" @default.
• W1996324305 magId "1996324305" @default.
• W1996324305 workType "article" @default.