Article ID Journal Published Year Pages File Type
6414252 Journal of Algebra 2016 5 Pages PDF
Abstract

Many results have been established about determining whether or not an element evaluates to zero on an irreducible character of a group. In this note it is shown that if a group G has a normal p-subgroup N, and x∈N lies in the centre of a Sylow p-subgroup of G, then no irreducible character of G vanishes on x.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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