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    Fundamental Groups of Simplicial Complexes

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    Erlan Wheeler III Senior Thesis (239.3Kb)
    Date
    2016
    Author
    Wheeler, Erlan III
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    Subjects
    Abstract Algebra; Topology; Algebraic Topology; Fundamental Group; Simplicial Complex; simplex
    Abstract
    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, then the other is connected. We will also show that for any given set of integers, the fundamental groups of the resulting simplicial complexes are isomorphic.
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    • 2015-2016

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