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Primes p with the property that every non-solvable transitive permutation group of degree p is alternating or symmetric.
0

%I #2 Mar 31 2012 10:29:30

%S 5,19,29,37,41,43,47,53,59,61,67,71,79,83,89,97

%N Primes p with the property that every non-solvable transitive permutation group of degree p is alternating or symmetric.

%C Wielandt mentions only p=5, 19, 47, 59. The rest follows from the classification of finite simple groups.

%D Wielandt, Finite Permutation Groups, p. 29.

%D Dixon, Mortimer, Permutation Groups, Springer, 1996, p. 99.

%K nonn

%O 1,1

%A _David Brink_, Jun 21 2009