Date of Graduation

Spring 2017

Document Type

Honors Research Project

Degree Name

Bachelor of Science

Major

Mathematics - BS/MS

Research Sponsor

Dr. Jeffrey Riedl

First Reader

Dr. James Cossey

Second Reader

Dr. Hung Nguyen

Abstract

Consider the regular wreath product group P of Z9 with (Z3 x Z3). The problem of determining all normal subgroups of P that are contained in its base subgroup is equivalent to determining the subgroups of a certain matrix group M that are invariant under two particular endomorphisms of M. This thesis is a partial solution to the latter. We use concepts from linear algebra and group theory to find and count so-called doubly-invariant subgroups of M.

Included in

Algebra Commons

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