"On Covering Groups With Proper Subgroups" by Collin B. Moore

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

Open Access

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