On the Hirsch-Plotkin radical of a factorized group

DOI10.1017/S0017089500008715zbMath0774.20022MaRDI QIDQ4019696

Francesco de Giovanni, Silvana Franciosi

Publication date: 16 January 1993

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

nilpotent subgroupssoluble groupFitting subgroupHirsch-Plotkin radicalproduct of subgroupsfinite abelian section rankelement of order \(p\)

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Solvable groups, supersolvable groups (20F16) General structure theorems for groups (20E34) Chains and lattices of subgroups, subnormal subgroups (20E15) Extensions, wreath products, and other compositions of groups (20E22) Local properties of groups (20E25) Products of subgroups of abstract finite groups (20D40)

Related Items (3)

Triple factorization by locally supersoluble groups ⋮ Prodotti di gruppi nilpotenti ⋮ On Groups with Finite Abelian Section Rank Factorized by Mutually Permutable Subgroups

Cites Work

• Cohomology of locally nilpotent groups
• Subnormalität in faktorisierten endlichen Gruppen
• On the Fitting length of a soluble product of nilpotent groups
• The vanishing of certain homology and cohomology groups
• Supplements in Abelian-By-Nilpotent Groups
• On products of nilpotent groups

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