Geodesic
Group algebras in which complements are summands
Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 3, pp. 3-11.

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It is shown that (1) every almost selfinjective group algebra is selfinjective and (2) if the group algebra $KG$ is continuous, then $G$ is a locally finite group. Furthermore, it follows that the following assertions are equivalent: a CS group algebra $KG$ is continuous; $KG$ is principally selfinjective; the group $G$ is locally finite. 
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A. N. Alahmadi; S. K. Jain; P. Kanwar; J. B. Srivastava. Group algebras in which complements are summands. Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 3, pp. 3-11. http://geodesic.mathdoc.fr/item/FPM_2005_11_3_a0/

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