On groups with isomorphic complex group algebras (Q1333208)
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: On groups with isomorphic complex group algebras |
scientific article; zbMATH DE number 638507
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On groups with isomorphic complex group algebras |
scientific article; zbMATH DE number 638507 |
Statements
On groups with isomorphic complex group algebras (English)
0 references
16 March 1995
0 references
The author proves that if \(n\) is an arbitrary natural number greater than 1, then there exist finite groups \(U\) and \(V\) such that \(U\) is a supersoluble and metabelian group, \(V\) has nilpotent length \(n\) and the group algebras \(\mathbb{C} U\) and \(\mathbb{C} V\) over the field \(\mathbb{C}\) of complex numbers are isomorphic.
0 references
isomorphic complex group algebras
0 references
group rings
0 references
Hall subgroup
0 references
finite groups
0 references
metabelian groups
0 references
nilpotent length
0 references
