Partial GVZ-groups

DOI10.1016/J.JALGEBRA.2021.04.008OpenAlexW3153294767MaRDI QIDQ2029191

Mark L. Lewis, Shawn T. Burkett

Publication date: 3 June 2021

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.11541

zbMATH Keywords

\(p\)-groupsfully ramified charactersflat groupsGVZ groups

Mathematics Subject Classification ID

Ordinary representations and characters (20C15)

Related Items (1)

A characterization of GVZ groups in terms of fully ramified characters

Cites Work

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• Groups where the centers of the irreducible characters form a chain. II
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• Characters vanishing on all but two conjugacy classes.
• Some conditions which almost characterize Frobenius groups.
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• Some p-groups of Frobenius and extra-special type
• Homogeneous character induction
• Irreducible character degrees and normal subgroups
• On groups of central type
• Characters fully ramified over a normal subgroup
• GVZ-groups, flat groups, and CM-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
• On p-group Camina pairs

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