Lifting in Frattini covers and a characterization of finite solvable groups.

DOI10.1515/CRELLE-2013-0085zbMath1343.20022arXiv1112.4559OpenAlexW2963117721MaRDI QIDQ890761

Robert M. Guralnick, Pham Hũ'u Tiêp

Publication date: 11 November 2015

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.4559

zbMATH Keywords

finite groupsrepresentations of simple groupscharacterizations of finite solvable groupscoverings of curvesFrattini covers

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Special subgroups (Frattini, Fitting, etc.) (20D25) Extensions, wreath products, and other compositions of groups (20E22) Coverings of curves, fundamental group (14H30)

Related Items (14)

Products of derangements in simple permutation groups ⋮ Surjective word maps and Burnside's \(p^aq^b\) theorem ⋮ On the class of KN-complete groups ⋮ Characterization of the solvable radical by Sylow multiplicities ⋮ Criteria for solubility and nilpotency of finite groups with automorphisms ⋮ On generations by conjugate elements in almost simple groups with socle \(^2 F_4(q^2)'\) ⋮ Order of products of elements in finite groups ⋮ A note on locally graded minimal non-metahamiltonian groups ⋮ Variations on results on orders of products in finite groups ⋮ Probabilistic Waring problems for finite simple groups ⋮ Onsse-embedded subgroups of finite groups ⋮ A characterization of finite soluble groups ⋮ Prime divisors of orders of products ⋮ Remarks on Lifting Beauville Structures of Quasisimple Groups

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