Irreducible products of characters in \(A_ n\) (Q1310159)

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scientific article; zbMATH DE number 474989
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Irreducible products of characters in \(A_ n\)
scientific article; zbMATH DE number 474989

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    Irreducible products of characters in \(A_ n\) (English)
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    11 October 1994
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    The author continues his work on the decomposition of products of ordinary irreducible characters. In the present paper he focuses attention on characters of alternating groups, looking for products that are irreducible. He shows that such a product \(\chi\psi\), being irreducible, occurs if and only if the degree \(n \geq 5\) of the alternating group \(A_ n\) is a perfect square.
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    decomposition of products of ordinary irreducible characters
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    alternating groups
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