The Growth in Normal Subgroups Under Direct Products

Authors

Whitney Radil, College of Saint Benedict/Saint John's University

Document Type

Thesis

Publication Date

2013

Disciplines

Mathematics

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

Recommended Citation

Radil, Whitney, "The Growth in Normal Subgroups Under Direct Products" (2013). Honors Theses, 1963-2015. 18.
https://digitalcommons.csbsju.edu/honors_theses/18