Nilpotent groups with lower central factors of minimal ranks

DOI10.1007/BF01669330zbMath0472.20013MaRDI QIDQ1158244

B. A. Panferov

Publication date: 1981

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/187116

zbMATH Keywords

nilpotent Lie algebraslower central seriesderived lengthnilpotent group of maximal class

Mathematics Subject Classification ID

Nilpotent groups (20F18) Finite nilpotent groups, (p)-groups (20D15) Derived series, central series, and generalizations for groups (20F14)

Related Items

The conjugacy vector of a \(p\)-group of maximal class ⋮ On the Taketa bound for normally monomial \(p\)-groups of maximal class. ⋮ Counterexamples to a rank analog of the Shepherd-Leedham-Green-McKay theorem on finite \(p\)-groups of maximal nilpotency class. ⋮ On \(p\)-groups of maximal class. II ⋮ Minimal classes and maximal class in \(p\)-groups

Cites Work

• Unnamed Item
• Unnamed Item
• On a special class of \(p\)-groups
• Automorphisms of Solvable Groups
• ON p-GROUPS OF MAXIMAL CLASS I
• ON p-GROUPS OF MAXIMAL CLASS II
• ON p-GROUPS OF MAXIMAL CLASS III
• Quelques calculs concernant la formule de Hausdorff
• Sur les groupes nilpotents et les anneaux de Lie