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Flexibility of Group Actions on the Circle

Af: Sang-hyun Kim, Mahan Mj, Thomas Koberda Engelsk Paperback

Flexibility of Group Actions on the Circle

Af: Sang-hyun Kim, Mahan Mj, Thomas Koberda Engelsk Paperback
Tjek vores konkurrenters priser

In this partly expository work, a framework is developed for building exotic circle actions of certain classical groups.

The authors give general combination theorems for indiscrete isometry groups of hyperbolic space which apply to Fuchsian and limit groups. An abundance of integer-valued subadditive defect-one quasimorphisms on these groups follow as a corollary.

The main classes of groups considered are limit and Fuchsian groups. Limit groups are shown to admit large collections of faithful actions on the circle with disjoint rotation spectra. For Fuchsian groups, further flexibility results are proved and the existence of non-geometric actions of free and surface groups is established. An account is given of the extant notions of semi-conjugacy, showing they are equivalent.

This book is suitable for experts interested in flexibility of representations, and for non-experts wanting an introduction to group representations into circle homeomorphism groups.


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In this partly expository work, a framework is developed for building exotic circle actions of certain classical groups.

The authors give general combination theorems for indiscrete isometry groups of hyperbolic space which apply to Fuchsian and limit groups. An abundance of integer-valued subadditive defect-one quasimorphisms on these groups follow as a corollary.

The main classes of groups considered are limit and Fuchsian groups. Limit groups are shown to admit large collections of faithful actions on the circle with disjoint rotation spectra. For Fuchsian groups, further flexibility results are proved and the existence of non-geometric actions of free and surface groups is established. An account is given of the extant notions of semi-conjugacy, showing they are equivalent.

This book is suitable for experts interested in flexibility of representations, and for non-experts wanting an introduction to group representations into circle homeomorphism groups.


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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 136
ISBN-13: 9783030028541
Indbinding: Paperback
Udgave:
ISBN-10: 3030028542
Kategori: Grupper og gruppeteori
Udg. Dato: 8 jan 2019
Længde: 9mm
Bredde: 234mm
Højde: 156mm
Forlag: Springer Nature Switzerland AG
Oplagsdato: 8 jan 2019
Forfatter(e): Sang-hyun Kim, Mahan Mj, Thomas Koberda
Forfatter(e) Sang-hyun Kim, Mahan Mj, Thomas Koberda

Kategori Grupper og gruppeteori

ISBN-13 9783030028541

Sprog Engelsk

Indbinding Paperback

Sider 136

Udgave

Længde 9mm

Bredde 234mm

Højde 156mm

Udg. Dato 8 jan 2019

Oplagsdato 8 jan 2019

Forlag Springer Nature Switzerland AG

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