Outer isomorphisms of a group whose inner isomorphisms form a group having the square of a prime for its order. (Q1472775)
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: Outer isomorphisms of a group whose inner isomorphisms form a group having the square of a prime for its order. |
scientific article; zbMATH DE number 2615637
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Outer isomorphisms of a group whose inner isomorphisms form a group having the square of a prime for its order. |
scientific article; zbMATH DE number 2615637 |
Statements
Outer isomorphisms of a group whose inner isomorphisms form a group having the square of a prime for its order. (English)
0 references
1914
0 references
Wenn eine Gruppe eine Automorphismengruppe besitzt, deren Ordnung das Quadrat einer ungeraden Primzahl ist, so kann ihre Isomorphismengruppe kein \textit{Abel}sche Gruppe sein. Dies Ergebnis ist um so bemerkenswerter, als bei Primzahlkuben weder dieser Satz noch sein Gegenteil richtig sind.
0 references
