| 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. | Over the next ten years 26 new simple groups were found
在随后的10年中又有26个新的简单群被发现。 |
| 3. | Theorem 2 . 3 the inner - finite infinite simple groups are all inner - soluble groups
3若g是单的内有限群，则g是内可解的。 |
| 4. | The challenge for mathematicians became how to classify the complete set of these simple groups
数学家的挑战在于，如何对这些简单群的完整集合进行分类。 |
| 5. | It just occurred to me that good , simple group scheduling software is a lot like the clock in the weasley s living room in the
我觉得一个好的、简单的群组日程安排软件非常类似于 |
| 6. | In 1965 a new simple group ( with 175 , 560 symmetries ) was discovered which did not fit into any of the standard families
1965年一个新的简单群（它有175560种对称）被发现，对它无法做任何标准的分类。 |
| 7. | It is this elevated level of performance which is the main justification for using the group process rather than a simple group of staff
这种团队表现的提升是为何要采用团队工作程序而不是仅仅把一群普通的员工集合到一起的最主要理由。 |
| 8. | Much as every integer can be broken down into a product of prime numbers , the symmetries of any object can be constructed from a collection of basic building blocks known as simple groups
正如每个整数都可用一些质数的积表示，任一对象的对称都可由所谓简单群的基本构件集合构造出来。 |
| 9. | The chemical process by means of which a change in physical condition , as in pressure or temperature , or the action of a solvent causes a molecule to split into simpler groups of atoms , single atoms , or ions
离解（作用）在物理状态下，如在压力或温度下的变化，或在溶剂的作用下，使分子分离为更简单的一组原子、单原子或离子的化学过程 |
| 10. | 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 |
