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The Resource The structure of certain quasisymmetric groups

The structure of certain quasisymmetric groups

Label
The structure of certain quasisymmetric groups
Title
The structure of certain quasisymmetric groups
Creator
Subject
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]K-quasisymmetric 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
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 86-87)
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
Publication
Bibliography note
Includes bibliographical references (pages 86-87)
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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