Geodesic
Group algebras of periodic groups of a~solvable multiplicative group
Matematičeskie zametki, Tome 22 (1977) no. 3, pp. 421-432.

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The structure of the group algebra $KG$ of an arbitrary periodic group $G$ such that the multiplicative group $U(KG)$ is solvable is completely determined. 
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     author = {A. A. Bovdi and I. I. Khripta},
     title = {Group algebras of periodic groups of a~solvable multiplicative group},
     journal = {Matemati\v{c}eskie zametki},
     pages = {421--432},
     publisher = {mathdoc},
     volume = {22},
     number = {3},
     year = {1977},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1977_22_3_a11/}
}
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A. A. Bovdi; I. I. Khripta. Group algebras of periodic groups of a~solvable multiplicative group. Matematičeskie zametki, Tome 22 (1977) no. 3, pp. 421-432. http://geodesic.mathdoc.fr/item/MZM_1977_22_3_a11/