In search of nonsolvable groups of central type

DOI10.2140/PJM.1979.82.485zbMath0387.20006OpenAlexW2035358589MaRDI QIDQ1250277

Robert A. Liebler, Jay E. Yellen

Publication date: 1979

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1979.82.485

zbMATH Keywords

central simple projective group algebramaximal subgroups of prime power indexnonsolvable groups of central type

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Finite simple groups and their classification (20D05) Projective representations and multipliers (20C25)

Related Items (19)

Certain irreducible characters over a normal subgroup ⋮ Primitive permutation groups of odd degree, and an application to finite projective planes ⋮ An answer to a question of Isaacs on character degree graphs. ⋮ Representations of finite groups ⋮ Certain distance-regular digraphs and related rings of characteristic 4 ⋮ Quotient gradings and the intrinsic fundamental group ⋮ Groups with three projective characters ⋮ Groups with two projective characters ⋮ On fully ramified Brauer characters. ⋮ Unnamed Item ⋮ Groups which act transitively on the projective characters of a normal subgroup ⋮ Influence of the number of Sylow subgroups on solvability of finite groups ⋮ Groups of central-type, maximal connected gradings and intrinsic fundamental groups of complex semisimple algebras ⋮ Blocks inequivalent to their Frobenius twists. ⋮ Groups whose projective characters are Galois conjugate ⋮ Gradings on finite-dimensional simple Lie algebras ⋮ On groups of central type ⋮ Subgroups of prime power index in a simple group ⋮ On projective characters of the same degree

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