A note on group algebras of $p$-primary abelian groups
Ullery, William
Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995), p. 11-14 / Harvested from Czech Digital Mathematics Library
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Suppose $p$ is a prime number and $R$ is a commutative ring with unity of characteristic 0 in which $p$ is not a unit. Assume that $G$ and $H$ are $p$-primary abelian groups such that the respective group algebras $RG$ and $RH$ are $R$-isomorphic. Under certain restrictions on the ideal structure of $R$, it is shown that $G$ and $H$ are isomorphic.

Publié le : 1995-01-01
Classification:  16S34,  20C07,  20K10 
@article{118726,
     author = {William Ullery},
     title = {A note on group algebras of $p$-primary abelian groups},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {36},
     year = {1995},
     pages = {11-14},
     zbl = {0828.20005},
     mrnumber = {1334408},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118726}
}

Ullery, William. A note on group algebras of $p$-primary abelian groups. Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) pp. 11-14. http://gdmltest.u-ga.fr/item/118726/

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