Geodesic
On~free actions of zero-dimensional compact groups
Izvestiya. Mathematics , Tome 32 (1989) no. 1, pp. 217-232.

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It is proved that there exists a free action of an arbitrary zero-dimensional compact group on every Menger manifold. It is shown that in the case of a finite group $G$ such a $G$-action on the $n$-dimensional Menger compactum is unique and universal in the class of free $G$-actions on $n$-dimensional compacta. Bibliography: 22 titles. 
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A. N. Dranishnikov. On~free actions of zero-dimensional compact groups. Izvestiya. Mathematics , Tome 32 (1989) no. 1, pp. 217-232. http://geodesic.mathdoc.fr/item/IM2_1989_32_1_a11/

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