Normal \(p\)-complements for finite groups

DOI10.1007/BF01162958zbMath0098.02003OpenAlexW2019389755WikidataQ56228006 ScholiaQ56228006MaRDI QIDQ5895945

John G. Thompson

Publication date: 1960

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/183616

zbMATH Keywords

group theory

Related Items (43)

Subgroups of finite groups ⋮ Scharf transitive und scharf fahnentransitive Kollineationsgruppen ⋮ An algorithm for the Thompson subgroup of a \(p\)-group. ⋮ A solvability condition for finite groups with nilpotent maximal subgroups ⋮ Nilpotent height of finite groups admitting fixed-point-free automorphisms ⋮ Unnamed Item ⋮ Large Abelian subgroups of finite \(p\)-groups ⋮ On orbital regular graphs and Frobenius graphs ⋮ On finite groups isospectral to \(U_3(3)\) ⋮ On the edge-forwarding indices of Frobenius graphs ⋮ Engelsche Elemente endlicher Gruppen ⋮ Typical Frobenius coverings ⋮ A constructive approach: From local subgroups to new classes of finite groups ⋮ On \(\Pi\)-property and \(\Pi\)-normality of subgroups of finite groups. II. ⋮ Rank one isolated \(p\)-minimal subgroups in finite groups ⋮ On the automorphism groups of Frobenius groups ⋮ Large subgroups of small class in finite \(p\)-groups. ⋮ Characterization of projective linear groups by the order of the normalizer of a Sylow subgroup. ⋮ A brief history of the classification of the finite simple groups ⋮ RECOGNITION OF THE PROJECTIVE GENERAL LINEAR GROUP PGL(2, q) BY ITS NONCOMMUTING GRAPH ⋮ On Thompson's \(p\)-complement theorems for saturated fusion systems. ⋮ Normal \(p\)-complements for finite groups ⋮ Normal \(p\)-subgroups in the group of outer automorphisms of a finite \(p\)-group. ⋮ The classification of finite simple groups I. Simple groups and local analysis ⋮ A note on Frobenius groups ⋮ Finite Groups Whose Character Graphs Associated with Codegrees Have No Triangles ⋮ Homology and central series of groups ⋮ Fahnenhomogene Quadrupelsysteme ⋮ Über projektive Ebenen, in denen jede Fahne von einer nicht-trivialen Elation invariant gelassen wird ⋮ NOTES ON FINITE SIMPLE GROUPS WHOSE ORDERS HAVE THREE OR FOUR PRIME DIVISORS ⋮ Existence of nonnilpotent solvable subgroups of a finite unsolvable group ⋮ Richard D. Brauer ⋮ Nonsolvable finite groups all of whose 2-local subgroups are solvable. I ⋮ Verallgemeinerung eines Satzes von B. Huppert und J. G. Thompson ⋮ On automorphisms and subgroups of finite groups. I ⋮ Einfache Partitionen nicht-einfacher Gruppen ⋮ Partitionen endlicher Gruppen ⋮ Frobenius groups which are the automorphism groups of orientably-regular maps ⋮ CHARACTERIZATION OF THE PROJECTIVE GENERAL LINEAR GROUPS PGL(2,q) BY THEIR ORDERS AND DEGREE PATTERNS ⋮ Recognition of alternating groups of prime degree from their element orders ⋮ Finite groups with a nilpotent maximal subgroup ⋮ Malnormal subgroups and Frobenius groups: basics and examples. With an appendix by Denis Osin. ⋮ Frobenius maps

Cites Work

• Classes of finite groups and their properties
• On the p -Length of p -Soluble Groups and Reduction Theorems for Burnside's Problem
• FINITE GROUPS WITH FIXED-POINT-FREE AUTOMORPHISMS OF PRIME ORDER
• A Contribution to the Theory of Groups of Prime-Power Order
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