The Structures of Non-Coprime Graphs for Finite Groups from Dihedral Groups with Regular Composite Orders
Sita Armi Aulia,
I Gede Adhitya Wisnu Wardhana,
Irwansyah Irwansyah
et al.
Abstract:For any finite group, the non-coprime graph of the group is a graph with vertices consisting of all non-identity elements of the group. Two different vertices are considered adjacent if their orders are not coprime, meaning their greatest common divisor (gcd) is not equal to one. Misuki provides the structure of the non-coprime graph for the dihedral group when the order is a prime power. We establish a more general property for cases where the order of the group is a regular composite number, discovering that… Show more
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