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Irreducible products of characters inA n

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Abstract

We show that it is possible to find a pair of non-principal irreducible characters ofA nwhose product is irreducible if and only ifn is a perfect square.

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References

  • [I] I.M. Isaacs,Character Theory of Finite Groups, Academic Press, New York, 1976.

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  • [JK] G. James and A. Kerber,The Representation Theory of the Symmetric Group, Encyclopedia of Mathematics and its Applications, Addison-Wesley, Mass., 1981.

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  • [Z1] I. Zisser,The character covering numbers of the alternating group, to appear in J. Algebra.

  • [Z2] I. Zisser,Squares of characters with a small number of irreducible constituents, to appear in J. Algebra.

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  1. Department of Mathematics, University of Wisconsin-Madison, 480 Lincoln Drive, 53706, Madison, WI, USA

    Ilan Zisser

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  1. Ilan Zisser
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Zisser, I. Irreducible products of characters inA n . Israel J. Math. 84, 147–151 (1993). https://doi.org/10.1007/BF02761696

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  • DOI: https://doi.org/10.1007/BF02761696

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