The Non-Normal Subgroup Graph of Some Dihedral Groups
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
2020 ◽
Vol 12
(04)
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pp. 2050051
Keyword(s):
Keyword(s):
2021 ◽
Vol 2021
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pp. 1-9
Keyword(s):
Keyword(s):
2020 ◽
Vol 12
(06)
◽
pp. 2050083