Products of characters and finite p-groups II

2003/04/25 by Edith Adan-Bante, Adan-Bante, Edith
Mathematics · #20c15 #FOS: Mathematics #Group Theory (math.GR) #math.GR #msc:20c15

paper · pdf · doi:10.48550/arxiv.math/0304401

Submitted, 8 pages, see http://www.math.uiuc.edu/~adanbant

arxiv created 2003/04/25 · arxiv updated 2009/11/30

Abstract

Let p be a prime number. Let G be a finite p-group and χ∈ Irr(G). Denote by χ ∈ Irr(G) the complex conjugate of χ. Assume that χ(1)=pⁿ. We show that the number of distinct irreducible constituents of the product χχ is at least 2n(p-1)+1.

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• Products of characters and finite p-groups
• Products of Characters and Finite p-groups III
• Restriction of characters and products of characters
• Characters of prime degree
• Products of characters with few irreducible constituents