半直积群的编码矩阵

Fundamental Journal of Mathematics and Applications Pub Date : 2020-12-15 DOI:10.33401/fujma.690424

Amnah Alkinani, Ahmed A. Khammash

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摘要

确定半直积群的编码矩阵$ G = C_{n} \rtimes_{\phi} C_{m} $;$ \phi: C_{m} \ lonightarrow Aut(C_{n}) $，以推广二面体群$D_{2n}$的已知结果，它已知是两个环群$C_{n} \， \ C_{2}$的半直元。

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Coding Matrices for the Semi-Direct Product Groups

We shall determine the coding matrix of the semi-direct product group $ G = C_{n} \rtimes_{\phi} C_{m} $ ; $ \phi : C_{m} \longrightarrow Aut(C_{n}) $ of two cyclic groups in order to generalize the known result for the dihedral group $D_{2n}$, which is known to be a semi-direct of the two cyclic groups $C_{n} \ , \ C_{2}$.

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Fundamental Journal of Mathematics and Applications

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