Finite groups in which every irreducible character vanishes on at most two conjugacy classes
Articolo
Data di Pubblicazione:
2000
Citazione:
Finite groups in which every irreducible character vanishes on at most two conjugacy classes / M. Bianchi, D. Chillag, A. Gillio. - In: HOUSTON JOURNAL OF MATHEMATICS. - ISSN 0362-1588. - 26:3(2000), pp. 451-461.
Abstract:
It is known that if G is a finite non-abelian group in which every irreducible character vanishes on at most one conjugacy class, then G is a Frobenius group with a Frobenius complement of order 2 and Frobenius kernel of odd order. In particular G is solvable. This paper studies the class of finite groups G in which every irreducible character vanishes on at most two conjugacy classes. There are such nonsolvable groups. We show that A5 and PSL(2, 7) are the only nonsolvable groups in this class. We also show that each solvable group in this class is either a certain type of a Frobenius group, or is very close to being one.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
irreducible characters
Elenco autori:
M. Bianchi, D. Chillag, A. Gillio
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