English translation for "单群"
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- one-group
simple group single group
- Example Sentences:
| 1. | Group theory is particularly rich in problems of this type, especially because of the search for sporadic simple groups . 在这类问题中,特别是由于对散在的单群的研究,群论有特别丰富的内容。 | | 2. | 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设g是非阿贝尔的内有限群,则g的每个非平凡真子群都是素数阶循环群的充分必要条件是g是单群, g的每个真子群幂零且g的每个非平凡的真子群自正规化定理2 | | 3. | In this paper , at first we study the inner - finite core - finite group in section 2 . by investigating the inner - finite infinite simple groups , we have proved : theorem 2 . 2 let g be a non - abelian inner - finite group and g = < a , b > . if one of a and b is an involution , then g is not a simple group 2设g是由a和b两元生成的非阿贝尔的内有限群,若a和b两元中有对合,则z ( g )含对合,因而g非单群;而且g不是内阿贝尔的。 | | 4. | Theorem 2 . 5 let g be an infinite simple group that satisfies maximal condition . g is an inner - finite group and each non - trivial proper subgroup of g is abelian if and only if for each x in g , cg ( x ) is the only maximal subgroup that contain x . s * ( a * , c * ) - groups can be regarded as a generalizations of dedekind groups , since all of dedekind groups are s * ( a * , c * ) - groups 5设g是满足极大条件的无限单群,则g是内有限群,而且g的每个非平凡真子群是阿贝尔群的充分必要条件是对g的任意非平凡元x ,有c _ g ( x )是g的含x的唯一极大子群且c _ g ( x )是有限的。 |
- Similar Words:
- "单缺象" English translation, "单缺圆折流板" English translation, "单裙边绝缘子" English translation, "单裙绝缘子" English translation, "单裙绝缘子 铃形绝缘子" English translation, "单群法" English translation, "单群计划" English translation, "单群近似法" English translation, "单群理论" English translation, "单群链路" English translation
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