Groups with two extreme character degrees and their normal subgroups

DOI10.1090/S0002-9947-01-02685-XzbMath0968.20005OpenAlexW1889728301MaRDI QIDQ2706608

Alexander Moretó, Gustavo A. Fernández-Alcober

Publication date: 20 March 2001

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-01-02685-x

zbMATH Keywords

finite \(p\)-groupsnormal subgroupscharacter degreesconjugacy class sizes

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Ordinary representations and characters (20C15) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Series and lattices of subgroups (20D30) Finite nilpotent groups, (p)-groups (20D15)

Related Items (17)

On faithful quasi-permutation representations of VZ-groups and Camina p-groups ⋮ Nested GVZ-groups ⋮ Conjugacy classes of small size in solvable groups ⋮ Methods and questions in character degrees of finite groups ⋮ Groups where the centers of the irreducible characters form a chain ⋮ Finite \(p\)-groups with few kernels of nonlinear irreducible characters ⋮ Centralizers of Camina \(p\)-groups of nilpotence class 3 ⋮ On the number of conjugacy class sizes and character degrees in finite $p$-groups ⋮ Groups with a small average number of zeros in the character table ⋮ Normal subgroups with nonabelian quotients in \(p\)-groups ⋮ Generalizing Camina groups and their character tables ⋮ The vanishing-off subgroup. ⋮ A note on the finite CZ(n)-groups ⋮ FINITE -GROUPS ALL OF WHOSE NONNORMAL SUBGROUPS HAVE BOUNDED NORMAL CORES ⋮ Finite $p$-groups with exactly two nonlinear non-faithful irreducible characters ⋮ Finite 2-groups in which distinct nonlinear irreducible characters have distinct kernels ⋮ Groups where the centers of the irreducible characters form a chain. II

Uses Software

• GAP

Cites Work

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• Semi-extraspezielle p-Gruppen
• Character theory of finite groups
• On groups of central type
• Rank dependency of group properties
• Groups having three complex irreducible character degrees
• On Camina groups of prime power order
• A characterization of groups in terms of the degrees of their characters
• A characterization of groups in terms of the degrees of their characters. II
• Über Gruppen mit genau zwei irreduziblen Charaktergraden I
• Minimal characters of p-groups
• Über Gruppen mit wenigen irreduziblen Charakteren I
• Endliche Gruppen I

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