# A direct factor theorem for commutative group algebras

Commentationes Mathematicae Universitatis Carolinae (1992)

- Volume: 33, Issue: 3, page 383-387
- ISSN: 0010-2628

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topUllery, William. "A direct factor theorem for commutative group algebras." Commentationes Mathematicae Universitatis Carolinae 33.3 (1992): 383-387. <http://eudml.org/doc/247412>.

@article{Ullery1992,

abstract = {Suppose $F$ is a field of characteristic $p\ne 0$ and $H$ is a $p$-primary abelian $A$-group. It is shown that $H$ is a direct factor of the group of units of the group algebra $F H$.},

author = {Ullery, William},

journal = {Commentationes Mathematicae Universitatis Carolinae},

keywords = {units of group algebras; $A$-groups; totally projective -group; group ring; -primary -group; direct factor},

language = {eng},

number = {3},

pages = {383-387},

publisher = {Charles University in Prague, Faculty of Mathematics and Physics},

title = {A direct factor theorem for commutative group algebras},

url = {http://eudml.org/doc/247412},

volume = {33},

year = {1992},

}

TY - JOUR

AU - Ullery, William

TI - A direct factor theorem for commutative group algebras

JO - Commentationes Mathematicae Universitatis Carolinae

PY - 1992

PB - Charles University in Prague, Faculty of Mathematics and Physics

VL - 33

IS - 3

SP - 383

EP - 387

AB - Suppose $F$ is a field of characteristic $p\ne 0$ and $H$ is a $p$-primary abelian $A$-group. It is shown that $H$ is a direct factor of the group of units of the group algebra $F H$.

LA - eng

KW - units of group algebras; $A$-groups; totally projective -group; group ring; -primary -group; direct factor

UR - http://eudml.org/doc/247412

ER -

## References

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- Ullery W., An isomorphism theorem for commutative modular group algebras, Proc. Amer. Math. Soc. 110 (1990), 287-292. (1990) Zbl0712.20036MR1031452
- Warfield R., A classification theorem for abelian $p$-groups, Trans. Amer. Math. Soc. 210 (1975), 149-168. (1975) Zbl0324.20058MR0372071

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