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Products of characters and finite <Emphasis Type="Italic">p</Emphasis>-groups II

Authors:	Email author" target="_blank">E?Adan-Bante Email author

Institution:	(1) Department of Mathematics, University of Illinois at Urbana-Champaign, 61801 Urbana, USA;(2) Present address: University of Southern Mississippi Gulf Coast, 730 East Beach Boulevard, 39560 Long Beach, MS, USA

Abstract:	Let p be a prime number. Let G be a finite p-group and $\chi \in \textrm{Irr}(G)$ . Denote by $\overline{\chi} \in \textrm{Irr}(G)$ the complex conjugate of $\chi$ . Assume that $\chi(1) = p^n$ . We show that the number of distinct irreducible constituents of the product $\chi \, \overline{\chi}$ is at least . Received: 17 March 2003

Keywords:	20C15
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