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- W2552494378 abstract "A digraph is associated with a finite group by utilizing the power map f: G → G defined by f(x) = x kfor all x ∈ G, where k is a fixed natural number. It is denoted by γG(n, k). In this paper, the generalized quaternion and 2-groups are stud- ied. The height structure is discussed for the generalized quaternion. The necessary and sufficient conditions on a power digraph of a 2-group are determined for a 2-group to be a generalized quaternion group. Further, the classification of two generated 2-groups as abelian or non-abelian in terms of semi-regularity of the power digraphs is completed." @default.
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- W2552494378 date "2016-11-16" @default.
- W2552494378 modified "2023-10-09" @default.
- W2552494378 title "The classification of finite groups by using iteration digraphs" @default.
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- W2552494378 doi "https://doi.org/10.1007/s10587-016-0312-8" @default.
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