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Z-structures and Semidirect Products...

Pietsch, Brian.

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Z-structures and Semidirect Products with an Infinite Cyclic Group.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Z-structures and Semidirect Products with an Infinite Cyclic Group./
Author:	Pietsch, Brian.
Published:	Ann Arbor : ProQuest Dissertations & Theses, : 2018,
Description:	64 p.
Notes:	Source: Dissertation Abstracts International, Volume: 80-01(E), Section: B.
Contained By:	Dissertation Abstracts International80-01B(E).
Subject:	Mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10825067
ISBN:	9780438368439

Z-structures and Semidirect Products with an Infinite Cyclic Group.
Pietsch, Brian.

Z-structures and Semidirect Products with an Infinite Cyclic Group. - Ann Arbor : ProQuest Dissertations & Theses, 2018 - 64 p.

Source: Dissertation Abstracts International, Volume: 80-01(E), Section: B.

Thesis (Ph.D.)--The University of Wisconsin - Milwaukee, 2018.

Z-structures were originally formulated by Bestvina in order to axiomatize the properties that an ideal group boundary should have. In this dissertation, we prove that if a given group admits a Z-structure, then any semidirect product of that group with an infinite cyclic group will also admit a Z-structure. We then show how this can be applied to 3-manifold groups and strongly polycyclic groups.

ISBN: 9780438368439Subjects--Topical Terms:

515831
Mathematics.

Z-structures and Semidirect Products with an Infinite Cyclic Group.
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245 1 0 $a Z-structures and Semidirect Products with an Infinite Cyclic Group.
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300 $a 64 p.
500 $a Source: Dissertation Abstracts International, Volume: 80-01(E), Section: B.
500 $a Adviser: Craig Guilbault.
502 $a Thesis (Ph.D.)--The University of Wisconsin - Milwaukee, 2018.
520 $a Z-structures were originally formulated by Bestvina in order to axiomatize the properties that an ideal group boundary should have. In this dissertation, we prove that if a given group admits a Z-structure, then any semidirect product of that group with an infinite cyclic group will also admit a Z-structure. We then show how this can be applied to 3-manifold groups and strongly polycyclic groups.
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650 4 $a Theoretical mathematics. $3 3173530
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773 0 $t Dissertation Abstracts International $g 80-01B(E).
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856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10825067