A115200 The only alternating groups A_n which are ambivalent (see definition below).

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

Offset: 1

Author

Wolfdieter Lang, Feb 23 2006

Keywords

• nonn
• fini
• full

Comments

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

The only alternating groups A_n with real character table.

References

• 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.