The Resource The structure of certain quasisymmetric groups
The structure of certain quasisymmetric groups
Resource Information
The item The structure of certain quasisymmetric groups represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Sydney Jones Library, University of Liverpool.This item is available to borrow from 1 library branch.
Resource Information
The item The structure of certain quasisymmetric groups represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Sydney Jones Library, University of Liverpool.
This item is available to borrow from 1 library branch.
 Summary
 A quasisymmetric mapping is a homeomorphism of the circle with the property that it does not distort cross ratios too badly. By a theorem of Beurling and Ahlfors such maps are precisely the boundary values of quasiconformal homeomorphisms of the disk. A group [italic]G of quasisymmetric mappings of the circle is called a quasisymmetric group if there is a uniform upper bound on the distortion of each [script lowercase]g in [italic]G. If this upper bound is [italic]K we call [italic]G a [italic]Kquasisymmetric group. In this paper the author continues the study of these groups, in particular the question of when such groups are quasisymmetrically conjugate to conformal groups
 Language
 eng
 Extent
 iv, 87 pages
 Contents

 Nondiscrete groups : proof of theorem 4
 Groups containing large Möbius subgroups : proof of lemma 10
 Uncountable groups : proof of corollary 2
 Introduction and results
 Notation and two lemmas
 Groups on the real axis : proof of theorem 1
 Proof of theorem 2 for groups of finite order
 Estimates for cross ratios : proof of lemma 4
 Distances between successive image points : proof of lemma 5
 Proof of theorem 2 for groups of infinite order
 Abelian groups : proof of theorem 3
 Isbn
 9780821824856
 Label
 The structure of certain quasisymmetric groups
 Title
 The structure of certain quasisymmetric groups
 Language
 eng
 Summary
 A quasisymmetric mapping is a homeomorphism of the circle with the property that it does not distort cross ratios too badly. By a theorem of Beurling and Ahlfors such maps are precisely the boundary values of quasiconformal homeomorphisms of the disk. A group [italic]G of quasisymmetric mappings of the circle is called a quasisymmetric group if there is a uniform upper bound on the distortion of each [script lowercase]g in [italic]G. If this upper bound is [italic]K we call [italic]G a [italic]Kquasisymmetric group. In this paper the author continues the study of these groups, in particular the question of when such groups are quasisymmetrically conjugate to conformal groups
 Cataloging source
 UkLiU
 http://library.link/vocab/creatorName
 Hinkkanen, Aimo
 LC call number
 QA3
 LC item number
 .A57 no. 422
 Series statement
 Memoirs of the American Mathematical Society
 Series volume
 422
 http://library.link/vocab/subjectName
 Quasisymmetric groups
 Label
 The structure of certain quasisymmetric groups
 Bibliography note
 Includes bibliographical references (pages 8687)
 Carrier category
 volume
 Carrier category code

 nc
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents

 Nondiscrete groups : proof of theorem 4
 Groups containing large Möbius subgroups : proof of lemma 10
 Uncountable groups : proof of corollary 2
 Introduction and results
 Notation and two lemmas
 Groups on the real axis : proof of theorem 1
 Proof of theorem 2 for groups of finite order
 Estimates for cross ratios : proof of lemma 4
 Distances between successive image points : proof of lemma 5
 Proof of theorem 2 for groups of infinite order
 Abelian groups : proof of theorem 3
 Dimensions
 26 cm.
 Extent
 iv, 87 pages
 Isbn
 9780821824856
 Media category
 unmediated
 Media MARC source
 rdamedia
 Media type code

 n
 Label
 The structure of certain quasisymmetric groups
 Bibliography note
 Includes bibliographical references (pages 8687)
 Carrier category
 volume
 Carrier category code

 nc
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents

 Nondiscrete groups : proof of theorem 4
 Groups containing large Möbius subgroups : proof of lemma 10
 Uncountable groups : proof of corollary 2
 Introduction and results
 Notation and two lemmas
 Groups on the real axis : proof of theorem 1
 Proof of theorem 2 for groups of finite order
 Estimates for cross ratios : proof of lemma 4
 Distances between successive image points : proof of lemma 5
 Proof of theorem 2 for groups of infinite order
 Abelian groups : proof of theorem 3
 Dimensions
 26 cm.
 Extent
 iv, 87 pages
 Isbn
 9780821824856
 Media category
 unmediated
 Media MARC source
 rdamedia
 Media type code

 n
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.liverpool.ac.uk/portal/Thestructureofcertainquasisymmetric/AKeBcyB38eo/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.liverpool.ac.uk/portal/Thestructureofcertainquasisymmetric/AKeBcyB38eo/">The structure of certain quasisymmetric groups</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.liverpool.ac.uk/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.liverpool.ac.uk/">Sydney Jones Library, University of Liverpool</a></span></span></span></span></div>