The \(IC\)-property of primary subgroups (Q6157275)
From MaRDI portal
scientific article; zbMATH DE number 7699545
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The \(IC\)-property of primary subgroups |
scientific article; zbMATH DE number 7699545 |
Statements
The \(IC\)-property of primary subgroups (English)
0 references
20 June 2023
0 references
A subgroup \(H\) of a finite group \(G\) has the \(IC\)-property if the intersection of \(H\) and \([H, G]\) satisfy some conditions (see Definitions 1.1 and 1.2). In the paper under review, the authors investigate the structure of a finite group \(G\) under the assumption that some primary subgroups of \(G\) have \(IC\)-property. They obtain some new results.
0 references
finite group
0 references
Sylow subgroup
0 references
\(IC\)-property
0 references
\(p\)-nilpotency
0 references
formation
0 references
0 references
