Groups with distinct monolithic character degrees

DOI10.1006/jabr.1998.7770zbMath0939.20005OpenAlexW1969304289MaRDI QIDQ1305044

I. M. Isaacs, Yakov G. Berkovich, Lev S. Kazarin

Publication date: 3 July 2000

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

Full work available at URL: https://doi.org/10.1006/jabr.1998.7770

zbMATH Keywords

Fitting heightsfinite groupsFrobenius groupscharacter degreescommutator subgroupsnormal Sylow subgroupsorbit sizesminimal normal subgroupshomogeneous character inductionmonolithic irreducible characters

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60)

Related Items (11)

On the relations between the structures of finite groups and their strongly monolithic characters ⋮ Solvable groups having primitive characters of degree two ⋮ Nonsolvable \(D_2\)-groups. ⋮ On the multiplicities of the character codegrees of finite groups ⋮ Strongly monolithic characters of finite groups ⋮ Finite solvable groups with two imprimitive monolithic characters ⋮ On the multiplicity of character degrees of nonsolvable groups ⋮ Finite groups with non-trivial intersections of kernels of all but one irreducible characters ⋮ On distinct character degrees. ⋮ Real characters, monolithic characters and the Taketa inequality ⋮ Degrees, kernels and quasikernels of monolithic characters

Cites Work

• Squares of characters with few irreducible constituents in finite groups
• Irreducible character degrees and normal subgroups
• On Zsigmondy primes
• Finite Groups Having Only One Irreducible Representation of Degree Greater than One

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