Geodesic
Isomorphism of commutative group algebras of $p$-mixed splitting groups over rings of characteristic zero
Mathematica Bohemica, Tome 131 (2006) no. 1, pp. 85-93.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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 $p\notin \mathop {\text{inv}}(R) \cup \mathop {\text{zd}}(R)$. 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).
DOI : 10.21136/MB.2006.134084
Classification : 16S34, 16U60, 20C07, 20K10, 20K21
Keywords: group algebras; isomorphisms; $p$-mixed splitting groups; rings with zero characteristic 
@article{10_21136_MB_2006_134084,
     author = {Danchev, Peter},
     title = {Isomorphism of commutative group algebras of $p$-mixed splitting groups over rings of characteristic zero},
     journal = {Mathematica Bohemica},
     pages = {85--93},
     publisher = {mathdoc},
     volume = {131},
     number = {1},
     year = {2006},
     doi = {10.21136/MB.2006.134084},
     mrnumber = {2211005},
     zbl = {1111.20007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2006.134084/}
}
TY  - JOUR
AU  - Danchev, Peter
TI  - Isomorphism of commutative group algebras of $p$-mixed splitting groups over rings of characteristic zero
JO  - Mathematica Bohemica
PY  - 2006
SP  - 85
EP  - 93
VL  - 131
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/MB.2006.134084/
DO  - 10.21136/MB.2006.134084
LA  - en
ID  - 10_21136_MB_2006_134084
ER  - 
%0 Journal Article
%A Danchev, Peter
%T Isomorphism of commutative group algebras of $p$-mixed splitting groups over rings of characteristic zero
%J Mathematica Bohemica
%D 2006
%P 85-93
%V 131
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/MB.2006.134084/
%R 10.21136/MB.2006.134084
%G en
%F 10_21136_MB_2006_134084
Danchev, Peter. Isomorphism of commutative group algebras of $p$-mixed splitting groups over rings of characteristic zero. Mathematica Bohemica, Tome 131 (2006) no. 1, pp. 85-93. doi : 10.21136/MB.2006.134084. http://geodesic.mathdoc.fr/articles/10.21136/MB.2006.134084/

Cité par Sources :