Irreducible products of characters inA n

descriptionPublicationkeyboard_double_arrow_right Article 01 Feb 1993 English Publisher:Springer Science and Business Media LLCJournal:Israel Journal of Mathematics, volume 84, pages 147-151 (issn: 0021-2172, eissn: 1565-8511,

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Authors: Zisser, Ilan;

doi: 10.1007/bf02761696

Irreducible products of characters inA n

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Abstract

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.

Related Organizations

University of Wisconsin–Madison
United States
University of Wisconsin–Oshkosh
United States

Keywords

Ordinary representations and characters, decomposition of products of ordinary irreducible characters, Representations of finite symmetric groups, alternating groups

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