Geodesic
On the Theorem of Maschke
Matematičeskie zametki, Tome 4 (1968) no. 2, pp. 151-154.

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It will be shown that the Theorem of Maschke can be carried over to certain classes of topological groups in the following way. Let $A$ be a locally compact abelian strictly $\Pi$-divisible group, and let $G$ be a compact totally disconnected $\Pi$-group of automorphisms of $A$, where $\Pi$ is a set of prime numbers. If a $G$-admissible subgroup $B$ of $A$ is isolated as a direct summand, then it has a $G$-admissible complement in $A$. 
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     author = {V. S. Charin},
     title = {On the {Theorem} of {Maschke}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {151--154},
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     volume = {4},
     number = {2},
     year = {1968},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1968_4_2_a4/}
}
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V. S. Charin. On the Theorem of Maschke. Matematičeskie zametki, Tome 4 (1968) no. 2, pp. 151-154. http://geodesic.mathdoc.fr/item/MZM_1968_4_2_a4/