On zeros of irreducible characters lying in a normal subgroup

DOI10.1007/s10231-020-00942-1zbMath1485.20018arXiv1902.03170OpenAlexW3003166072MaRDI QIDQ2196660

María José Felipe, Nicola Grittini, Víctor Sotomayor

Publication date: 3 September 2020

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

Full work available at URL: https://arxiv.org/abs/1902.03170

zbMATH Keywords

conjugacy classesfinite groupsnormal subgroupsirreducible characters

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Ordinary representations and characters (20C15) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20)

Related Items (2)

Vanishing elements and Sylow subgroups ⋮ On G-character tables for normal subgroups

Uses Software

• GAP

Cites Work

• Unnamed Item
• Two remarks about non-vanishing elements in finite groups.
• Indices of elements and normal structure of finite groups.
• Characterizing normal Sylow \(p\)-subgroups by character degrees.
• Finite group elements where no irreducible character vanishes
• On the orders of zeros of irreducible characters.
• Nilpotent and abelian Hall subgroups in finite groups
• Character degree graphs that are complete graphs
• Zeros of characters of finite groups
• ON VANISHING CRITERIA THAT CONTROL FINITE GROUP STRUCTURE II
• Prime powers as conjugacy class lengths of π-elements
• Non-vanishing elements in finite groups.

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