Finite groups whose element orders are consecutive integers (Q1178897)
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 groups whose element orders are consecutive integers |
scientific article; zbMATH DE number 23492
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finite groups whose element orders are consecutive integers |
scientific article; zbMATH DE number 23492 |
Statements
Finite groups whose element orders are consecutive integers (English)
0 references
26 June 1992
0 references
Let \(n\) be a positive integer. Then a group \(G\) is an \(OC_ n\)-group if every element of \(G\) has order \(\leq n\) and for each \(m\leq n\) there exists an element of \(G\) having order \(m\). In this paper the complete classification of \(OC_ n\)-groups is given and in particular it is proved that we must have \(n\leq 8\).
0 references
finite groups
0 references
element orders
0 references
\(OC_ n\)-groups
0 references
0 references
