A characterization of GVZ groups in terms of fully ramified characters

DOI10.22108/IJGT.2021.127210.1673zbMath1496.20009arXiv2101.11537OpenAlexW3216849084MaRDI QIDQ5102168

Mark L. Lewis, Shawn T. Burkett

Publication date: 6 September 2022

Full work available at URL: https://arxiv.org/abs/2101.11537

zbMATH Keywords

\(p\)-groupsfully ramified charactersGVZ groups

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Finite nilpotent groups, (p)-groups (20D15)

Cites Work

• Unnamed Item
• Characterizations of \(p\)-nilpotent groups
• On groups of central type
• Characters fully ramified over a normal subgroup
• GVZ-groups, flat groups, and CM-groups
• Partial GVZ-groups
• Groups where the centers of the irreducible characters form a chain
• Finite groups with an irreducible representation of large degree
• Nested GVZ-groups
• ISOMORPHIC CHARACTER TABLES OF NESTED GVZ-GROUPS
• Flatness Conditions on Finitep-Groups
• On Certain Groups of Central Type
• Characters of Solvable Groups

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