Thesis Title
Date of Graduation
Summer 2023
Degree
Master of Science in Mathematics
Department
Mathematics
Committee Chair
Richard Belshoff
Abstract
In this paper, we explore groups that can be expressed as a union of proper subgroups. Using “covering number” to denote the minimal number of proper subgroups required to cover a group, we explore the nature of groups with covering numbers 3 and 4, while also finding covering numbers for p-groups, dihedral, and generalized dihedral groups.
Keywords
group, dihedral, covering, generalized dihedral, subgroup
Subject Categories
Algebra
Copyright
© Collin B. Moore
Recommended Citation
Moore, Collin B., "On Covering Groups With Proper Subgroups" (2023). MSU Graduate Theses. 3883.
https://bearworks.missouristate.edu/theses/3883
