Equations in prime powers

DOI10.2140/pjm.1985.118.359zbMath0581.20009OpenAlexW1971496140WikidataQ106045703 ScholiaQ106045703MaRDI QIDQ1068192

Robert M. Guralnick, Ernst Gabor Straus, Murray M. Schacher, Dennis R. Estes

Publication date: 1985

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

Full work available at URL: https://doi.org/10.2140/pjm.1985.118.359

zbMATH Keywords

class numberdiophantine equationsimple groups\(p\)-complementsquintic equation

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Finite simple groups and their classification (20D05) Higher degree equations; Fermat's equation (11D41) Products of subgroups of abstract finite groups (20D40)

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Compositum of two number fields of prime degree, Groups of prime degree and the Bateman-Horn conjecture, Arithmetic of conjugacy of \(p\)-complements., Ernst G. Straus (1922-1983), Linear forms in Lucas numbers, Conjugacy Classes ofP-Cycles of Type D in Alternating Groups