solvable group

(redirected from Soluble group)

solvable group

[′säl·və·bəl ′grüp]
(mathematics)
A group G which has subgroups G0, G1,…, Gn , where G0= G, Gn = the identity element alone, and each Gi is a normal subgroup of Gi-1with the quotient group Gi-1/ Gi Abelian.
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