Isomorphism of commutative group algebras of p-mixed splitting groups over rings of characteristic zero

Title:

Isomorphism of commutative group algebras of p-mixed splitting groups over rings of characteristic zero

Creator:

Danchev, Peter Vassilev

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:1529c06e-19a4-4228-9230-cd3180905c2c
uuid:1529c06e-19a4-4228-9230-cd3180905c2c
doi:10.21136/MB.2006.134084

Subject:

group algebras, isomorphisms, p-mixed splitting groups, and rings with zero characteristic

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

Suppose G is a p-mixed splitting abelian group and R is a commutative unitary ring of zero characteristic such that the prime number p satisfies p ∈/ inv(R) ∪ zd(R). Then R(H) and R(G) are canonically isomorphic R-group algebras for any group H precisely when H and G are isomorphic groups. This statement strengthens results due to W. May published in J. Algebra (1976) and to W. Ullery published in Commun. Algebra (1986), Rocky Mt. J. Math. (1992) and Comment. Math. Univ. Carol. (1995).

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

85-93

Source:

Mathematica bohemica | 2006 Volume:131 | Number:1

Harvested from:

CDK

Metadata only:

false