正規循環群 的英文怎麼說
中文拼音 [zhēngguīxúnhuánqún]
正規循環群
英文
regular cyclic group- 正 : 正名詞（正月） the first month of the lunar year; the first moon
- 規 : Ⅰ名詞1 （畫圓形的工具） instrument for drawing circles 2 （規則; 成例） rule; regulation 3 [機械...
- 循 : 循動詞（遵守; 依照; 沿襲） follow; abide by
- 環 : Ⅰ名詞1 （環子） ring; hoop 2 （環節） link 3 （姓氏） a surname Ⅱ動詞（圍繞） surround; encircle;...
- 群 : Ⅰ名詞（聚在一起的人或物） crowd; group Ⅱ量詞（用於成群的人或物） group; herd; flock
- 正規 : regular; standard; normal正規部隊 regular troops; regulars; 正規教育 regular education; proper ed...
- 循環 : circulate; circle; round; repeat; loop; period; recurrence; cycling; circulating; mixing; circula...
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Theorem 2. 4 let g be a non - abelian inner - finite group, each non - trivial proper subgroup of g is prime order cyclic group if and only if g is a simple group ; each proper subgroup of g is nilpotent ; and each non - trivial subgroup of g is self - normalizer
4設g是非阿貝爾的內有限群，則g的每個非平凡真子群都是素數階循環群的充分必要條件是g是單群， g的每個真子群冪零且g的每個非平凡的真子群自正規化定理2Suppose that ( x ) is contain in v ( g ) for every element x of n with prime order, and suppose that ( y ) is semi - normal or c - normal in g for every element y of n with order 4, then g is nilpotent
若n之極小子群含于v （ g ） ，且2 ~ 2階循環子群在g中或半正規或c -正規，則g是冪零群Suppose that ( x ) is semi - normal or c - normal in g for every element x of n with prime order or order 4, then g is supersolvable
若n之極小子群及2 ~ 2階循環子群在g中或半正規或c -正規，則g超可解
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