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An Introduction To Relatively Hyperb...

Page, Murphy A.

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An Introduction To Relatively Hyperbolic Groups.

Record Type:	Electronic resources : Monograph/item
Title/Author:	An Introduction To Relatively Hyperbolic Groups./
Author:	Page, Murphy A.
Published:	Ann Arbor : ProQuest Dissertations & Theses, : 2017,
Description:	29 p.
Notes:	Source: Masters Abstracts International, Volume: 57-02.
Contained By:	Masters Abstracts International57-02(E).
Subject:	Mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10619533
ISBN:	9780355339215

An Introduction To Relatively Hyperbolic Groups.
Page, Murphy A.

An Introduction To Relatively Hyperbolic Groups. - Ann Arbor : ProQuest Dissertations & Theses, 2017 - 29 p.

Source: Masters Abstracts International, Volume: 57-02.

Thesis (M.S.)--Tufts University, 2017.

We look at a few of the various ways in which relatively hyperbolic groups are defined. It has been shown that, if a little care taken with hypotheses, all definitions are equivalent; here we examine the relationship between the definitions using the coned-off Cayley graph and fine delta-hyperbolic graphs. We also go over the definition using geometrically finite convergence groups. Finally, we use the free group F2 as an example of a relatively hyperbolic group to explore the different definitions.

ISBN: 9780355339215Subjects--Topical Terms:

515831
Mathematics.

An Introduction To Relatively Hyperbolic Groups.
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500 $a Source: Masters Abstracts International, Volume: 57-02.
500 $a Adviser: Genevieve Walsh.
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520 $a We look at a few of the various ways in which relatively hyperbolic groups are defined. It has been shown that, if a little care taken with hypotheses, all definitions are equivalent; here we examine the relationship between the definitions using the coned-off Cayley graph and fine delta-hyperbolic graphs. We also go over the definition using geometrically finite convergence groups. Finally, we use the free group F2 as an example of a relatively hyperbolic group to explore the different definitions.
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