Enumerating finite groups of given order

DOI10.2307/2946623zbMath0778.20012OpenAlexW4230313845WikidataQ105891245 ScholiaQ105891245MaRDI QIDQ1803526

László Pyber

Publication date: 29 June 1993

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2946623

zbMATH Keywords

automorphism groupSylow subgroupssolvable groupsmaximal solvable subgroupsgeneralized Fitting subgroupclassification of finite simple groupsnumber of isomorphism classes of groups of order \(n\)

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Special subgroups (Frattini, Fitting, etc.) (20D25) Asymptotic results on counting functions for algebraic and topological structures (11N45)

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