Browsing by Subject "Abstract Algebra"
Now showing items 1-3 of 3
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Automorphism Groups of Cayley Graphs
(2017)In this paper, we develop ideas in algebraic graph theory to look at the Cayley graphs of groups, and the automorphism groups of graphs. A Cayley graph can be defined using a group and a set; for a given group, a ... -
Fundamental Groups of Simplicial Complexes
(2016)We define two different simplicial complexes, the common divisor simplicial complex and the prime divisor simplicial complex, from a set of integers, and explore their similarities. We will show that if one is connected, ... -
On The Non-kth Elements of a Group
(2017)In Abstract Algebra, raising an element to a certain power can provide insight on various properties of both the element itself and the group it is a part of. This thesis is interested in the number of elements of a ...