Document Type

Thesis

Publication Date

2013

Abstract

This paper will consider the growth of the number of normal subgroups in a nonabelian group under the direct product operation. The groups considered in this paper are dihedral groups and semidirect products with a similar structure. Many proofs will rely on the use of a key property of normal subgroups, namely closure under conjugation, to predict this growth.

Comments

Approved by: Bret Benesh, Sunil Chetty, Michael Gass, Robert Hesse, Anthony Cunningham

Included in

Mathematics Commons

Share

COinS