Author Type

Undergraduate Student

Date of Award

Spring 5-1-2025

Document Type

Thesis

Publication Status

Version of Record

Submission Date

August 2026

College Granting Degree

Harriet L. Wilkes Honors College

Thesis/Dissertation Advisor [Chair]

Warren Wm. McGovern

Abstract

A group ring, R[G], is the set of all elements of G together with a coefficient from R. Elements of group rings are classified similarly to rings. For example, an element, x, is classified as a unit if there exists another element, y, such that xy produces the multiplicative identity. In the integers, 1 is the trivial unit. Due to the variably large sizes of group rings, using excel sheets often allows for easier computation of group elements and multiplication.

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