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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

  • 每个 HiG 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。
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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更新时间:2025/6/25 4:53:48