Every finite group of odd order is solvable. Proved by Walter Feit and John Thompson in a single argument that ran to over 250 journal pages, it was a critical early step toward the eventual classification of finite simple groups.
Facts
StatementEvery finite group whose order is an odd number is solvable, meaning it can be built up from abelian groups by a finite chain of extensions. 1 Classification
Statement FormCharacterization Theorem 1 Connections
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Has Statement Form
Entity-backed identity for the statement-form enum value this theorem already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The statement-form fact itself stays on the theorem unchanged.
In Branch
Sources
1. Feit-Thompson Theorem (Wikipedia)
Wikimedia FoundationLead section, opening theorem statement
every finite group of odd order is solvable
References section, 1963 Pacific Journal of Mathematics citation
Feit and Thompson (1963), "Solvability of groups of odd order", Pacific Journal of Mathematics, 13: 775-1029
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