Finite nonabelian \(p\)-groups all of whose nonabelian maximal subgroups are either metacyclic or minimal nonabelian. (Q633170)
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: Finite nonabelian \(p\)-groups all of whose nonabelian maximal subgroups are either metacyclic or minimal nonabelian. |
scientific article; zbMATH DE number 5872600
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finite nonabelian \(p\)-groups all of whose nonabelian maximal subgroups are either metacyclic or minimal nonabelian. |
scientific article; zbMATH DE number 5872600 |
Statements
Finite nonabelian \(p\)-groups all of whose nonabelian maximal subgroups are either metacyclic or minimal nonabelian. (English)
0 references
31 March 2011
0 references
The paper answers Problem 1914 of the book by \textit{Y. Berkovich} and \textit{Z. Janko}, [Groups of prime power order. Vol. 3. Berlin: Walter de Gruyter (2011; Zbl 1229.20001)], namely, to classify finite nonabelian \(p\)-groups with either metacyclic or \(A_1\) maximal subgroups as being either \(A_1\), \(A_2\) or metacyclic groups.
0 references
finite \(p\)-groups
0 references
minimal nonabelian \(p\)-groups
0 references
metacyclic \(p\)-groups
0 references
Frattini subgroup
0 references
maximal subgroups
0 references
