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The only alternating groups A_n which are ambivalent (see definition below).
1

%I #7 Aug 03 2012 14:34:43

%S 0,1,2,5,6,10,14

%N The only alternating groups A_n which are ambivalent (see definition below).

%C Ambivalent means that each element of the group A_n is a conjugate of its inverse element.

%C The only alternating groups A_n with real character table.

%D G. James and A. Kerber, The Representation Theory of the Symmetric Group, Encyclopedia of Maths. and its Appls., Vol. 16, Addison-Wesley, 1981, Reading, MA, U.S.A., p. 12, 1.2.12 and p. 14, 1.2.16.

%K nonn,fini,full

%O 1,3

%A _Wolfdieter Lang_, Feb 23 2006