Pro-\(p\) groups with few normal subgroups.

DOI10.1016/j.jalgebra.2008.10.012zbMath1206.20030OpenAlexW2133116462MaRDI QIDQ1012565

J. Martínez

Publication date: 21 April 2009

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2008.10.012

zbMATH Keywords

subgroups of finite indexlattices of subgroupsnormal subgroup growthbranch groupsperiodic mapsopen normal subgroupsgroups of finite widthgroups of finite coclassgroups of finite obliquityjust infinite pro-\(p\) groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Chains and lattices of subgroups, subnormal subgroups (20E15) Derived series, central series, and generalizations for groups (20F14) Limits, profinite groups (20E18)

Related Items

On small waist pairs in pro-\(p\) groups, On the structure of just infinite profinite groups., PROFINITE GROUPS WITH FINITE VIRTUAL LENGTH, Open normal subgroups in normally constrained pro-$p$ groups, On the commensurator of the Nottingham group

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Compact subgroups of linear algebraic groups
• Linear pro-\(p\)-groups of finite width
• Index-subgroups of the Nottingham group.
• New horizons in pro-\(p\) groups
• Ideally constrained Lie algebras
• On linear just infinite pro-\(p\) groups
• Subgroup growth.
• New just-infinite pro-\(p\) groups of finite width and subgroups of the Nottingham group.
• PRO-pGROUPS OF FINITE WIDTH
• Subgroup growth in some pro-$p$ groups
• The Fesenko groups have finite width
• Zeta functions related to the pro- $p$ group SL $_1${\bfseries (}$\Delta_{\hbox{\scriptsize{\bfseries\itshape p}}}${\bfseries )$ }
• Analytic groups over general pro-p domains
• Endliche Gruppen I
• Normal Subgroup Growth of Linear Groups: the (G2; F4;E8)-Theorem