The power structure of \(p\)-groups. I

DOI10.1016/0021-8693(76)90030-2zbMath0368.20012OpenAlexW2081862961MaRDI QIDQ1242990

Avinoam Mann

Publication date: 1976

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(76)90030-2

Mathematics Subject Classification ID

Finite nilpotent groups, (p)-groups (20D15)

Related Items (25)

Power closure and the Engel condition ⋮ Finite \(p\)-group with small Abelian subgroups. ⋮ The power structure of finite p-groups ⋮ On finite \(p\)-groups with few nonabelian subgroups of order \(p^p\) and exponent \(p\). ⋮ Proiettivita dei p-gruppi di classe massimale ⋮ Strata ofp‐origamis ⋮ Finite groups with submultiplicative spectra. ⋮ Dimension subgroups and \(p\)-th powers in \(p\)-groups. ⋮ Characterization of \(p\)-adic analytic groups in terms of wreath products ⋮ On Cernikov \(p\)-groups. ⋮ Omega subgroups of pro-\(p\) groups. ⋮ On Conjugate-Permutable Subgroups of a Finite Group ⋮ A note of \(\mathrm{CP}_{2}\) groups ⋮ The power structure of locally nilpotent \({p}\)-groups ⋮ On exact power margin groups ⋮ Finite groups ⋮ On the Lie theory of \(p\)-adic analytic groups ⋮ Powerful \(p\)-groups. I: Finite groups. ⋮ The nilpotency class of the unit group of a modular group algebra. II ⋮ Hall chains in normal subgroups of finite \(p\)-groups. ⋮ Representations of p -groups with submultiplicative spectra ⋮ Zeta functions related to the group of \(\text{SL}_2(\mathbb{Z}_p)\) ⋮ The groups \(G\) satisfying a functional equation \(f(xk) = xf(x)\) for some \(k \in G\) ⋮ Alternate proofs of two theorems of Philip Hall on finite \(p\)-groups, and some related results. ⋮ Applications of dimension subgroups to the power structure of \(p\)-groups

Cites Work

• The power structure of \(p\)-groups. II.
• Sui p-gruppi modulari finiti
• Regular p-groups
• Regular p-groups. II
• On minimal irregular p-Groups
• The Burnside problem
• Endliche Gruppen I

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