Geodesic
Obstructions to surgery of double coverings
Sbornik. Mathematics, Tome 59 (1988) no. 2, pp. 339-348 Cet article a éte moissonné depuis la source Math-Net.Ru

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The maps of Wall groups of finite abelian 2-groups obtained on passing to a double covering and the maps of Wall groups induced by the embedding of a subgroup of index 2 are computed. Bibliography: 7 titles. 
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Yu. V. Muranov. Obstructions to surgery of double coverings. Sbornik. Mathematics, Tome 59 (1988) no. 2, pp. 339-348. http://geodesic.mathdoc.fr/item/SM_1988_59_2_a4/

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[7] Wall C. T. C., “Norms of units in group rings”, Proc. London Math. Soc., 19:4 (1974), 591–632 | MR