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Steps Towards Characterizing Discret...

Ebrahimian, Roohollah.

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Steps Towards Characterizing Discrete Subgroups Acting Transitively on Vertices of a Bruhat-Tits Building.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Steps Towards Characterizing Discrete Subgroups Acting Transitively on Vertices of a Bruhat-Tits Building./
Author:	Ebrahimian, Roohollah.
Description:	41 p.
Notes:	Source: Dissertation Abstracts International, Volume: 72-02, Section: B, page: 0920.
Contained By:	Dissertation Abstracts International72-02B.
Subject:	Mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3440549
ISBN:	9781124422718

Steps Towards Characterizing Discrete Subgroups Acting Transitively on Vertices of a Bruhat-Tits Building.
Ebrahimian, Roohollah.

Steps Towards Characterizing Discrete Subgroups Acting Transitively on Vertices of a Bruhat-Tits Building. - 41 p.

Source: Dissertation Abstracts International, Volume: 72-02, Section: B, page: 0920.

Thesis (Ph.D.)--Yale University, 2010.

The objective of this project is to study all possible maximal discrete vertex transitive actions of affine buildings with dimension at least 3 over a local field of positive characteristic. We use Prasad's volume formula [P89] to get a necessary and sufficient condition for such an action to be vertex transitive. This condition can be easily used to show that the examples provided in [CS98] are vertex transitive. As an approach to characterize all such actions we show that k and l are rational function fields.

ISBN: 9781124422718Subjects--Topical Terms:

515831
Mathematics.

Steps Towards Characterizing Discrete Subgroups Acting Transitively on Vertices of a Bruhat-Tits Building.
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020 $a 9781124422718
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040 $a UMI $c UMI
100 1 $a Ebrahimian, Roohollah. $3 1684215
245 1 0 $a Steps Towards Characterizing Discrete Subgroups Acting Transitively on Vertices of a Bruhat-Tits Building.
300 $a 41 p.
500 $a Source: Dissertation Abstracts International, Volume: 72-02, Section: B, page: 0920.
500 $a Adviser: Gregory A. Margulis.
502 $a Thesis (Ph.D.)--Yale University, 2010.
520 $a The objective of this project is to study all possible maximal discrete vertex transitive actions of affine buildings with dimension at least 3 over a local field of positive characteristic. We use Prasad's volume formula [P89] to get a necessary and sufficient condition for such an action to be vertex transitive. This condition can be easily used to show that the examples provided in [CS98] are vertex transitive. As an approach to characterize all such actions we show that k and l are rational function fields.
590 $a School code: 0265.
650 4 $a Mathematics. $3 515831
650 4 $a Theoretical Mathematics. $3 1672766
690 $a 0405
690 $a 0642
710 2 $a Yale University. $3 515640
773 0 $t Dissertation Abstracts International $g 72-02B.
790 1 0 $a Margulis, Gregory A., $e advisor
790 $a 0265
791 $a Ph.D.
792 $a 2010
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3440549