Zeros of irreducible characters in factorised groups

Zeros of irreducible characters in factorised groups

An element \(g\) of a finite group \(G\) is said to be vanishing in \(G\) if there exists an irreducible character \(\chi\) of \(G\) such that \(\chi(g)=0\); in this case, \(g\) is also called a zero of \(G\). The aim of this paper is to obtain structural properties of a factorised group \(G=AB\) wh...

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Veröffentlicht in:arXiv.org 2018-03
Hauptverfasser: Felipe, M J, Martínez-Pastor, A, Ortiz-Sotomayor, V M
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Mathematics - Group Theory
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description An element \(g\) of a finite group \(G\) is said to be vanishing in \(G\) if there exists an irreducible character \(\chi\) of \(G\) such that \(\chi(g)=0\); in this case, \(g\) is also called a zero of \(G\). The aim of this paper is to obtain structural properties of a factorised group \(G=AB\) when we impose some conditions on prime power order elements \(g\in A\cup B\) which are (non-)vanishing in \(G\).
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title Zeros of irreducible characters in factorised groups
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