Phrase guide

solvable group

noun · 1 senses · updated from the 2026-07-25 local source snapshot

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1

noun

Meaning 1

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.

Definition source: English Wiktionary via Wiktextract

Qualifier: Galois theory

Topics: algebra, mathematics, sciences

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Antonyms: none provided

History

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