Finite group elements where no irreducible character vanishes

[摘要] In this paper, we consider elements x of a finite group G with the property that chi(x) not equal 0 for all irreducible characters chi of G. If G is solvable and x has odd order, we show that x must lie in the Fitting subgroup F(G). (C) 1999 Academic Press.

[发布日期] 1999-12-15