Subgroups of Finite Wreath Product Groups for p=3

Author

Jessica L. Gonda, University of AkronFollow

Date of Last Revision

2023-05-02 18:47:09

Major

Applied Mathematics - BS/MS

Degree Name

Bachelor of Science

Date of Expected Graduation

Spring 2016

Abstract

Let M be the additive abelian group of 3-by-3 matrices whose entries are from the ring of integers modulo 9. The problem of determining all the normal subgroups of the regular wreath product group P=Z₉≀(Z₃ × Z₃) that are contained in its base subgroup is equivalent to the problem of determining the subgroups of M that are invariant under two particular endomorphisms of M. In this thesis we give a partial solution to the latter problem by implementing a systematic approach using concepts from group theory and linear algebra.

Research Sponsor

Dr. Jeffrey Riedl

First Reader

Dr. Hung Nguyen

Second Reader

Dr. James Cossey

Recommended Citation

Gonda, Jessica L., "Subgroups of Finite Wreath Product Groups for p=3" (2016). Williams Honors College, Honors Research Projects. 235.
https://ideaexchange.uakron.edu/honors_research_projects/235