The Non-Normal Subgroup Graph of Some Dihedral Groups Academic Article uri icon

abstract

  • Let G be a finite groupand H is a subgroup of G. The subgroup graph of H in G is defined as a directed simple graph with vertex set G and two distinct elements x and y are adjacent if and only if xy∈H. In this paper, the work on subgroup graph is extended by defining a new graph called the non-normal subgroup graph. The subgroup graph is determined for some dihedral groupsof order 2n when the subgroup is non-normal. Keywords: subgroup graph; non-normal subgroup; dihedral group

publication date

  • 2020

number of pages

  • 6

start page

  • 1

end page

  • 7