群的直和 Direct sum of groups
(重定向自Weak direct product)
在数学中,群 G 叫做子群的集合 {Hi} 的直和,如果
- 每个 Hi 是 G 的正规子群,
- 每对不同的子群都有平凡的交集,并且
- G = <{Hi}>;换句话说,G 是子群 {Hi} 生成的。
单词 | Weak direct product |
释义 |
Weak direct product
中文百科
群的直和 Direct sum of groups(重定向自Weak direct product)
在数学中,群 G 叫做子群的集合 {Hi} 的直和,如果
英语百科
Direct sum of groups 群的直和(重定向自Weak direct product)
![]() In mathematics, a group G is called the direct sum of two subgroups H1 and H2 if More generally, G is called the direct sum of a finite set of subgroups {Hi} if If G is the direct sum of subgroups H and K, then we write G = H + K; if G is the direct sum of a set of subgroups {Hi}, we often write G = ∑Hi. Loosely speaking, a direct sum is isomorphic to a weak direct product of subgroups. |
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