Conjugation of Sylow p-Subloops Within Maximal Subloops of the Paige Loops

Persistent Link:
http://hdl.handle.net/10150/146679
Title:
Conjugation of Sylow p-Subloops Within Maximal Subloops of the Paige Loops
Author:
Somers, Andrew Kenton; Gagola, Stephen
Issue Date:
May-2010
Publisher:
The University of Arizona.
Rights:
Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.
Abstract:
Here it is shown that maximal subalgebras of dimension 6 are conjugate. Moreover, if P1 and P2 are a Sylow p-subloops of the Paige loop P(Fq), and if p divides q, then P1 and P2 are conjugate in SLL(Fq).
Type:
text; Electronic Thesis
Degree Name:
B.S.
Degree Level:
bachelors
Degree Program:
Honors College; Mathematics
Degree Grantor:
University of Arizona

Full metadata record

DC FieldValue Language
dc.language.isoenen_US
dc.titleConjugation of Sylow p-Subloops Within Maximal Subloops of the Paige Loopsen_US
dc.creatorSomers, Andrew Kentonen_US
dc.creatorGagola, Stephenen_US
dc.contributor.authorSomers, Andrew Kentonen_US
dc.contributor.authorGagola, Stephenen_US
dc.date.issued2010-05-
dc.publisherThe University of Arizona.en_US
dc.rightsCopyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.en_US
dc.description.abstractHere it is shown that maximal subalgebras of dimension 6 are conjugate. Moreover, if P1 and P2 are a Sylow p-subloops of the Paige loop P(Fq), and if p divides q, then P1 and P2 are conjugate in SLL(Fq).en_US
dc.typetexten_US
dc.typeElectronic Thesisen_US
thesis.degree.nameB.S.en_US
thesis.degree.levelbachelorsen_US
thesis.degree.disciplineHonors Collegeen_US
thesis.degree.disciplineMathematicsen_US
thesis.degree.grantorUniversity of Arizonaen_US
All Items in UA Campus Repository are protected by copyright, with all rights reserved, unless otherwise indicated.