Groups in which 2-generator subgroups are nilpotent of bounded class (Q2773008)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Groups in which 2-generator subgroups are nilpotent of bounded class |
scientific article; zbMATH DE number 1709127
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Groups in which 2-generator subgroups are nilpotent of bounded class |
scientific article; zbMATH DE number 1709127 |
Statements
25 November 2002
0 references
nilpotency conditions
0 references
torsionfree groups
0 references
\(m\)-generator subgroups
0 references
Groups in which 2-generator subgroups are nilpotent of bounded class (English)
0 references
The following statements regard torsionfree groups only. Denote by \(N(m,-)\) (\(N(m,n)\)) the class of groups in which \(m\)-generator subgroups are nilpotent (are nilpotent of class \(n\)). The following inclusions are shown: NEWLINE\[NEWLINEN(2,4)\cap N(3,-)\subseteq N(3,5);\quad N(3,5)\cap N(4,-)\subseteq N(4,6);\quad N(2,5)\cap N(4,-)\subseteq N(8,7).NEWLINE\]
0 references
