On Isaacs’ three character degrees theorem

DOI10.1090/S0002-9939-97-03790-8zbMath0861.20010OpenAlexW1482904869MaRDI QIDQ4332997

Yakov G. Berkovich

Publication date: 19 February 1997

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-97-03790-8

zbMATH Keywords

automorphism groupscharacter degreesclassification of finite simple groupsmonolithic characterssolvability of finite groups

Mathematics Subject Classification ID

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

Related Items (7)

Solvable groups having primitive characters of degree two ⋮ MONOMIAL AND MONOLITHIC CHARACTERS OF FINITE SOLVABLE GROUPS ⋮ SOME CRITERIA FOR SOLVABILITY AND NILPOTENCY OF FINITE GROUPS BY STRONGLY MONOLITHIC CHARACTERS ⋮ Finite solvable groups with two imprimitive monolithic characters ⋮ Permutation characters in finite solvable groups ⋮ Monolithic characters of real groups ⋮ Degrees, kernels and quasikernels of monolithic characters

Cites Work

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• Characters vanishing on all but two conjugacy classes.
• Finite groups with small sums of degrees of some nonlinear irreducible characters
• Finite nonsolvable groups in which only two nonlinear irreducible characters have equal degrees
• The maximal factorizations of the finite simple groups and their automorphism groups
• Finite Groups in which the Degrees of the Nonlinear Irreducible Characters are Distinct
• Endliche Gruppen I
• Finite Groups Having Only One Irreducible Representation of Degree Greater than One

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