Solvable real groups (Q828612)
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: Solvable real groups |
scientific article; zbMATH DE number 7343927
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Solvable real groups |
scientific article; zbMATH DE number 7343927 |
Statements
Solvable real groups (English)
0 references
5 May 2021
0 references
A finite group \(G\) is called real if the values of every complex character of \(G\) are real numbers. It is called an M-group if every irreducible complex character of \(G\) is monomial, i.e.\ induced from a linear character of a subgroup of \(G\). It is known, by a result of Dade, that every solvable finite group \(G\) can be embedded in an M-group \(H\). In the paper under review, the authors show that \(H\) can be chosen to be real.
0 references
rational group
0 references
real group
0 references
\(M\)-group
0 references
monomial character
0 references
