solvable group
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English
Noun
solvable group (plural solvable groups)
- (algebra, Galois theory) A group G which is part of a finite chain Gi (0 ≤ i ≤ n) 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., Gi ◁ Gi+1) and each quotient Gi+1/Gi is a cyclic group.
