As a consquence , some interesting properties of finite groups are derived 所以同样也导出了一些关于有限群的有趣的性质。
Is a finite group and 为有限群，
2 , in particular , it gives some necessary and sufficient conditions which show when a finite group 2的有限群的性质，特别地，给出了有限群
Thus , c - normality provides a useful tool for the investigation of the structure of finite groups 因此c -正规为研究有限群的结构提供了一个有力的工具。
A finite group g is solvable if and only if every maximal subgroup of g is semi - normal or c - normal in g . 2 有限群g可解当且仅当g的每一极大子群在g中或半正规或c -正规
It is well known that the relationship between the properties of g and the structure of g has been studied extensively 众所周知，有限群子群的性质与群g的结构之间的关系已经被广泛研究。
It is easy to prove that the irreducible representation of finite group satisfies orthogonal relation through the usage of schur lemma 摘要利用舒尔引理，很容易证明有限群的不可约表示满足正交关系。
On the other hand , one can also study the finite groups whose normalizers of sylow subgroups have some given external properties 另一方面，人们也可以讨论西洛子群的正规化子有某种外部性质的有限群。
An algorithm for grobner basis for an ideal of a polynomial ring over a group algebra of a finite group over a field is given ?给出了准确计算域上有限群的群代数上的多项式环的理想的gr ( ? ) bner基的算法。
