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This means that f is injective, g is surjective, and \(\ker g=\operatorname {im}f\) . Note that in this case, K is isomorphic to f(K), which is a normal subgroup of G and \(G/f(K)\cong Q\) . We also say that G is an extension of K by Q.

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Complements

  • 章节

  • 发表日期：

    2026年

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  • Ferran Cedó,
  • Leandro Vendramin

摘要

This means that f is injective, g is surjective, and \(\ker g=\operatorname {im}f\) . Note that in this case, K is isomorphic to f(K), which is a normal subgroup of G and \(G/f(K)\cong Q\) . We also say that G is an extension of K by Q.