Zeros of irreducible characters in factorised groups

DOI10.1007/S10231-018-0765-5zbMATH Open1447.20012arXiv1803.00432OpenAlexW3104726721MaRDI QIDQ667345

Ana Martínez-Pastor, María José Felipe, V. M. Ortiz-Sotomayor

Publication date: 12 March 2019

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

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 $ginAcupB$ which are (non-)vanishing in $G$.

Full work available at URL: https://arxiv.org/abs/1803.00432

zbMATH Keywords

conjugacy classesfinite groupsirreducible charactersproducts of groupsvanishing elements

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Ordinary representations and characters (20C15) Products of subgroups of abstract finite groups (20D40)

Cites Work

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Related Items (10)

Title not available (Why is that?) ⋮ On zeros of irreducible characters lying in a normal subgroup ⋮ SOME PRODUCTS OF SUBGROUPS AND VANISHING CONJUGACY CLASS SIZES ⋮ On products of groups and indices not divisible by a given prime ⋮ Irreducible restriction and zeros of characters ⋮ Zeros of characters and the Frattini subgroup ⋮ Title not available (Why is that?) ⋮ Zeros of monomial Brauer characters ⋮ Products of groups and class sizes of \(\pi \)-elements ⋮ Zeros of irreducible characters of metabelian \(p\)-groups

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