In mathematics, specifically group theory, a quotient group (or factor group) is a group obtained by aggregating similar elements of a larger group using an equivalence relation. For example, the cyclic group of addition modulo n can be obtained from the integers by identifying elements that differ by a multiple of n and defining a group structure that operates on each such class (known as a congruence class) as a single entity.
例句与用法
1.
Some properties of rough invariant subgroups and rough quotient groups 粗糙不变子群的若干性质与粗糙商群
2.
Congruence relation and quotient group 同余关系与商群
3.
And , isomorphism andf homomorphism issues between the quotient groups determined by yough normal subgroups are further discussed 并讨论了由粗正规子群决定的商群之间的同构和同态问题。