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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Source Feit-Thompson Theorem (Wikipedia)
Source Feit-Thompson Theorem (Wikipedia)
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
Proved By: Walter Feit, Lead
It was proved in the early 1960s by Walter Feit and John Griggs Thompson.
Proved By: John G. Thompson, Lead
It was proved in the early 1960s by Walter Feit and John Griggs Thompson.
In Group: Group Theory, Lead section
theorem, or odd order theorem, states that every finite group of odd order is solvable. It was proved in the
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