Jordan's Symmetric Group Theorem

A primitive subgroup of the symmetric group S_n is equal to either the alternating group A_n or S_n whenever it contains at least one permutation which is a q-cycle for some prime q<=n-3.

See also

Symmetric Group

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Dixon, J. D. "The Probability of Generating the Symmetric Group." Math. Z. 110, 199-205, 1969.Wielandt, H. Finite Permutation Groups. New York: Academic Press, 1964.

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Jordan's Symmetric Group Theorem

Cite this as:

Weisstein, Eric W. "Jordan's Symmetric Group Theorem." From MathWorld--A Wolfram Web Resource.

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