Group automorphisms of incidence algebras.

dc.contributor.advisor	Herden, Daniel.
dc.creator	Rebrovich, Jack, 1994-
dc.date.accessioned	2021-10-08T13:43:53Z
dc.date.available	2021-10-08T13:43:53Z
dc.date.created	2021-08
dc.date.issued	2021-07-01
dc.date.submitted	August 2021
dc.date.updated	2021-10-08T13:43:55Z
dc.description.abstract	Let (P,≤) be an arbitrary partially ordered set and I(P) its incidence space. Then FI(P) denotes the associated finitary incidence algebra, where FI(P) = I(P) for locally finite posets (P,≤). We investigate the group of units U(FI(P)) of incidence algebras and its normal subgroups. This includes the structure and properties of maximal abelian, normal subgroups, and criteria for solvability and nilpotency. Lastly, we will classify the automorphism group of the group of units when (P,≤) = (Z,≤).
dc.format.mimetype	application/pdf
dc.identifier.uri	https://hdl.handle.net/2104/11583
dc.language.iso	en
dc.rights.accessrights	Worldwide access
dc.subject	Incidence algebras. Maximal abelian. Normal subgroups.
dc.title	Group automorphisms of incidence algebras.
dc.type	Thesis
dc.type.material	text
thesis.degree.department	Baylor University. Dept. of Mathematics.
thesis.degree.grantor	Baylor University
thesis.degree.level	Doctoral
thesis.degree.name	Ph.D.