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arXiv · 1803.00432

Zeros of irreducible characters in factorised groups

M. J. Felipe·A. Martínez-Pastor·V. M. Ortiz-Sotomayor
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Abstract

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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M. J. Felipe, A. Martínez-Pastor, V. M. Ortiz-Sotomayor. 2018-03-01. Zeros of irreducible characters in factorised groups. https://doi.org/10.1007/s10231-018-0765-5

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