“solvable group”的概念、定义、翻译、参考文献-科学参考

单词	solvable group
释义	solvable group Mathematics A group G is solvable (or soluble) if there exists a sequence of subgroups ${e} = G_{0} ⊲ G_{1} ⊲ \dots ⊲ G_{n - 1} ⊲ G_{n} = G$ such that the quotient groups G_i+1/G_i are abelian groups. For a finite group, this is equivalent to the group’s composition factors being cyclic of prime order. It is significant to Galois theory that S₅ is not solvable. See Galois group, solvable by radicals.
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