Hall chains in normal subgroups of finite \(p\)-groups.

DOI10.1007/s11856-008-1055-5zbMath1165.20014OpenAlexW1996798043MaRDI QIDQ1001416

Yakov G. Berkovich

Publication date: 17 February 2009

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-008-1055-5

zbMATH Keywords

finite \(p\)-groupschains of normal subgroupsHall chains

Mathematics Subject Classification ID

Series and lattices of subgroups (20D30) Finite nilpotent groups, (p)-groups (20D15)

Cites Work

• Powerful \(p\)-groups. I: Finite groups.
• On a special class of \(p\)-groups
• Groups of prime power order. Vol. 1.
• The power structure of \(p\)-groups. I
• On subgroups and epimorphic images of finite \(p\)-groups
• Alternate proofs of two theorems of Philip Hall on finite \(p\)-groups, and some related results.
• A property of groups of order pp(e+1) and exponent pe
• On a Theorem of Frobenius