Conjugation of Sylow p-Subloops Within Maximal Subloops of the Paige Loops
PublisherThe University of Arizona.
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.
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).
Degree ProgramHonors College