FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W1594906679> ?p ?o ?g. }

• W1594906679 endingPage "3342" @default.
• W1594906679 startingPage "3331" @default.
• W1594906679 abstract "For a 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> generated by <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=k> <mml:semantics> <mml:mi>k</mml:mi> <mml:annotation encoding=application/x-tex>k</mml:annotation> </mml:semantics> </mml:math> </inline-formula> elements, <italic>the Nielsen equivalence classes</italic> are defined as orbits of the action of <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=Aut upper F Subscript k Baseline> <mml:semantics> <mml:mrow> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mtext>Aut</mml:mtext> </mml:mrow> <mml:msub> <mml:mi>F</mml:mi> <mml:mi>k</mml:mi> </mml:msub> </mml:mrow> <mml:annotation encoding=application/x-tex>textrm {Aut} F_k</mml:annotation> </mml:semantics> </mml:math> </inline-formula>, the automorphism group of the free group of rank <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=k> <mml:semantics> <mml:mi>k</mml:mi> <mml:annotation encoding=application/x-tex>k</mml:annotation> </mml:semantics> </mml:math> </inline-formula>, on the set of generating <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=k> <mml:semantics> <mml:mi>k</mml:mi> <mml:annotation encoding=application/x-tex>k</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-tuples of <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>. Let <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=p greater-than-or-equal-to 3> <mml:semantics> <mml:mrow> <mml:mi>p</mml:mi> <mml:mo>≥<!-- ≥ --></mml:mo> <mml:mn>3</mml:mn> </mml:mrow> <mml:annotation encoding=application/x-tex>pgeq 3</mml:annotation> </mml:semantics> </mml:math> </inline-formula> be prime and <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper G Subscript p> <mml:semantics> <mml:msub> <mml:mi>G</mml:mi> <mml:mi>p</mml:mi> </mml:msub> <mml:annotation encoding=application/x-tex>G_p</mml:annotation> </mml:semantics> </mml:math> </inline-formula> the Gupta-Sidki <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=p> <mml:semantics> <mml:mi>p</mml:mi> <mml:annotation encoding=application/x-tex>p</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-group. We prove that there are infinitely many Nielsen equivalence classes on generating pairs of <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper G Subscript p> <mml:semantics> <mml:msub> <mml:mi>G</mml:mi> <mml:mi>p</mml:mi> </mml:msub> <mml:annotation encoding=application/x-tex>G_p</mml:annotation> </mml:semantics> </mml:math> </inline-formula>." @default.
• W1594906679 created "2016-06-24" @default.
• W1594906679 creator A5025402136 @default.
• W1594906679 date "2017-04-06" @default.
• W1594906679 modified "2023-10-02" @default.
• W1594906679 title "Nielsen equivalence in Gupta-Sidki groups" @default.
• W1594906679 cites W1569475564 @default.
• W1594906679 cites W1570168301 @default.
• W1594906679 cites W1991400804 @default.
• W1594906679 cites W2003004532 @default.
• W1594906679 cites W2017378045 @default.
• W1594906679 cites W2048857224 @default.
• W1594906679 cites W2077718113 @default.
• W1594906679 cites W2078747366 @default.
• W1594906679 cites W2116802568 @default.
• W1594906679 cites W2117516005 @default.
• W1594906679 cites W2150210072 @default.
• W1594906679 cites W2319531343 @default.
• W1594906679 cites W2963083310 @default.
• W1594906679 cites W2963723821 @default.
• W1594906679 cites W4240769441 @default.
• W1594906679 cites W4245888280 @default.
• W1594906679 cites W4248298847 @default.
• W1594906679 doi "https://doi.org/10.1090/proc/13612" @default.
• W1594906679 hasPublicationYear "2017" @default.
• W1594906679 type Work @default.
• W1594906679 sameAs 1594906679 @default.
• W1594906679 citedByCount "0" @default.
• W1594906679 crossrefType "journal-article" @default.
• W1594906679 hasAuthorship W1594906679A5025402136 @default.
• W1594906679 hasBestOaLocation W15949066791 @default.
• W1594906679 hasConcept C11413529 @default.
• W1594906679 hasConcept C154945302 @default.
• W1594906679 hasConcept C2776321320 @default.
• W1594906679 hasConcept C41008148 @default.
• W1594906679 hasConceptScore W1594906679C11413529 @default.
• W1594906679 hasConceptScore W1594906679C154945302 @default.
• W1594906679 hasConceptScore W1594906679C2776321320 @default.
• W1594906679 hasConceptScore W1594906679C41008148 @default.
• W1594906679 hasIssue "8" @default.
• W1594906679 hasLocation W15949066791 @default.
• W1594906679 hasLocation W15949066792 @default.
• W1594906679 hasOpenAccess W1594906679 @default.
• W1594906679 hasPrimaryLocation W15949066791 @default.
• W1594906679 hasRelatedWork W1490908374 @default.
• W1594906679 hasRelatedWork W151193258 @default.
• W1594906679 hasRelatedWork W1529400504 @default.
• W1594906679 hasRelatedWork W1607472309 @default.
• W1594906679 hasRelatedWork W1871911958 @default.
• W1594906679 hasRelatedWork W1892467659 @default.
• W1594906679 hasRelatedWork W2808586768 @default.
• W1594906679 hasRelatedWork W2998403542 @default.
• W1594906679 hasRelatedWork W3107474891 @default.
• W1594906679 hasRelatedWork W38394648 @default.
• W1594906679 hasVolume "145" @default.
• W1594906679 isParatext "false" @default.
• W1594906679 isRetracted "false" @default.
• W1594906679 magId "1594906679" @default.
• W1594906679 workType "article" @default.