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Feit-Thompson Theorem

The Feit-Thompson theorem states that every finite simple group (that is not cyclic) has even group order, and the group order of every finite simple noncommutative group is doubly even, i.e., divisible by 4 (Feit and Thompson 1963).

The proof of the Feit-Thompson theorem took up an entire journal issue (Feit and Thompson 1963).

See also

Burnside Problem, Burnside's Conjecture, Feit-Thompson Conjecture, Finite Group, Group Order, Simple Group, Solvable Group

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References

Feit, W. and Thompson, J. G. "A Solvability Criterion for Finite Groups and Some Consequences." Proc. Nat. Acad. Sci. USA 48, 968-970, 1962.Feit, W. and Thompson, J. G. "Solvability of Groups of Odd Order." Pacific J. Math. 13, 775-1029, 1963.Guy, R. K. Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, p. 81, 1994.

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Feit-Thompson Theorem

Cite this as:

Weisstein, Eric W. "Feit-Thompson Theorem." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Feit-ThompsonTheorem.html

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