Double coset
In group theory, a field of mathematics, a double coset is a collection of group elements which are equivalent under the symmetries coming from two subgroups. More precisely, let G be a group, and let H and K be subgroups. Let H act on G by left multiplication and let K act on G by right multiplication. For each x in G, the (H, K)-double coset of x is the set When H = K, this is called the H-double coset of x. Equivalently, HxK is the equivalence class of x under the equivalence relation x ~ y if and only if there exist h in H and k in K such that hxk = y.
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Double coset
In group theory, a field of mathematics, a double coset is a collection of group elements which are equivalent under the symmetries coming from two subgroups. More precisely, let G be a group, and let H and K be subgroups. Let H act on G by left multiplication and let K act on G by right multiplication. For each x in G, the (H, K)-double coset of x is the set When H = K, this is called the H-double coset of x. Equivalently, HxK is the equivalence class of x under the equivalence relation x ~ y if and only if there exist h in H and k in K such that hxk = y.
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In group theory, a field of ma ...... ll double cosets is denoted by
@en
在数学领域, 群G中的 (H,K) 双陪集在G上的等价关系下 ...... 集. 在某些材料中, 例如有限群, 这可以作为相关的环的基.
@zh
군론에서, 이중 잉여류(二重剩餘類, 영어: double coset)는 주어진 두 부분군에 의하여 결정되는 동치 관계에 대한 동치류이다.
@ko
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In group theory, a field of ma ...... and k in K such that hxk = y.
@en
在数学领域, 群G中的 (H,K) 双陪集在G上的等价关系下 ...... 集. 在某些材料中, 例如有限群, 这可以作为相关的环的基.
@zh
군론에서, 이중 잉여류(二重剩餘類, 영어: double coset)는 주어진 두 부분군에 의하여 결정되는 동치 관계에 대한 동치류이다.
@ko
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Double coset
@en
双陪集
@zh
이중 잉여류
@ko