Geodesic
On the behavior at infinity of the fundamental group of a~homologically trivial manifold
Izvestiya. Mathematics , Tome 11 (1977) no. 3, pp. 529-550

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The author finds necessary and sufficient conditions for a group spectrum $G_1\leftarrow G_2\leftarrow\cdots$ to be isomorphic to a fundamental group spectrum of the end of a homologically trivial manifold. Bibliography: 4 titles. 
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     author = {A. Z. Dymov},
     title = {On the behavior at infinity of the fundamental group of a~homologically trivial manifold},
     journal = {Izvestiya. Mathematics },
     pages = {529--550},
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     volume = {11},
     number = {3},
     year = {1977},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1977_11_3_a3/}
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A. Z. Dymov. On the behavior at infinity of the fundamental group of a~homologically trivial manifold. Izvestiya. Mathematics , Tome 11 (1977) no. 3, pp. 529-550. http://geodesic.mathdoc.fr/item/IM2_1977_11_3_a3/