On the Number of Constituents of Products of Characters

• 来源期刊: 代数集刊（英文版）
• 关键词: products of faithful irreducible characters
• 年，卷（期）: 2007,（2）
• 页码范围: 207-208
• 页数: 2页
• 语种: 英文

摘要

It has been conjectured that if the number of distinct irreducible constituents of the product of two faithful irreducible characters of a finite p-group, for p ≥ 5, is bigger than (p + 1)/2, then it is at least p.We give a counterexample to this conjecture2000 Mathematics Subject Classification: 20C15.