Browsing by Subject "Abstract Algebra"

Now showing items 1-3 of 3

    • Automorphism Groups of Cayley Graphs 

      Lato, Sabrina (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 

      Wheeler, Erlan III (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 

      Grimes, Brett (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 ...