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頁籤選單縮合
題 名 | Classification of Symmetry Groups According to Their Isomorphism=依據同型特質對稱群之分類研究 |
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作 者 | 陳成; 徐雙富; 陳世忠; | 書刊名 | 中正嶺學報 |
卷 期 | 27:2 1999.01[民88.01] |
頁 次 | 頁121-132 |
分類號 | 348.221 |
關鍵詞 | 對稱群; 群同型特質; 循環群; 阿貝爾群; 非阿貝爾群; Symmetry group; Isomorphism of groups; Cyclic groups; Abelian groups; Nonabelian groups; |
語 文 | 英文(English) |
中文摘要 | 利用同型特質進行分類研究,依據群次(h)及h之半值(h/2)及h之四分之一值(h/4) 之偶奇性歸納出其同異點進行分類。 有關各群之次群,及分類 (classes) 比對及立表,此 方式之分類更可找到各對稱群之一般同異性之問題。 |
英文摘要 | This study attempts to classify the symmetry groups by their isomorphic properties. According to the even or odd properties of the group order (h), the half number of h (h/2 ) and the one fourth of h (h/4 ) are used to summarize their analogical and different behaviors and to establish the classification. The related subgroups and classes of the isomorphic groups of each case are compared and tabulated. This type of classification provides further insight into the general relationships among various symmetry groups. |
本系統中英文摘要資訊取自各篇刊載內容。