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
