solvable group

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English

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Noun

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solvable group (plural solvable groups)

  1. (algebra, Galois theory) A group G which is part of a finite chain Gi (0 ≤ in) of subgroups, where G0 is the trivial subgroup and Gn = G, such that each intermediate subgroup Gi is a normal subgroup of the next in the chain (i.e., GiGi+1) and each quotient Gi+1/Gi is a cyclic group.

Hyponyms

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Further reading

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