Normal Subgroups of Wreath Product 3-Groups

Author

Ryan GoppFollow

Date of Last Revision

2023-05-02 23:26:34

Major

Mathematics - BS/MS

Degree Name

Bachelor of Science

Date of Expected Graduation

Spring 2017

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.

Research Sponsor

Dr. Jeffrey Riedl

First Reader

Dr. James Cossey

Second Reader

Dr. Hung Nguyen

Recommended Citation

Gopp, Ryan, "Normal Subgroups of Wreath Product 3-Groups" (2017). Williams Honors College, Honors Research Projects. 427.
https://ideaexchange.uakron.edu/honors_research_projects/427