## William Ullery

*A direct factor theorem for commutative group algebras *

Comment.Math.Univ.Carolinae 33,3 (1992) 383-387. **Abstract:**Suppose $F$ is a field of characteristic $p\neq 0$ 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 $F H$.

**Keywords:** units of group algebras, $A$-groups

**AMS Subject Classification:** Primary 20C07; Secondary 20K10

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