Classifying subgroups of solvable groups

DOI10.2977/prims/1195188827zbMath0415.20040OpenAlexW2169483702MaRDI QIDQ599929

J. F. McClendon

Publication date: 1978

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195188827

zbMATH Keywords

Hall subgroupslow-dimensional cohomologysoluble normal seriessubgroups of a soluble group

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Subgroup theorems; subgroup growth (20E07) Solvable groups, supersolvable groups (20F16) Homological methods in group theory (20J05) Chains and lattices of subgroups, subnormal subgroups (20E15)

Cites Work

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• On the change of rings in the homological algebra
• On exact sequences in the homology of groups and algebras
• Cohomology as the Derived Functor of Derivations
• System Normalizers and Subnormalizers

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