Isomorphic semisimple group algebras (Q2704750)
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: Isomorphic semisimple group algebras |
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Isomorphic semisimple group algebras |
scientific article |
Statements
12 March 2001
0 references
isomorphism problem
0 references
semisimple group algebras
0 references
mixed Abelian groups
0 references
metabelian groups
0 references
0.93884945
0 references
0 references
0 references
Isomorphic semisimple group algebras (English)
0 references
In this short note the author announces without proofs positive results about the isomorphism of semisimple group algebras. The first result concerns group algebras of \(p\)-mixed splitting Abelian groups over a ring of characteristic zero in which \(p\) is not a unit. The second result states that a finitely generated torsion-free metabelian group can be determined up to isomorphism from its group algebra over a fixed field.
0 references
