Geodesic
Obstructions to surgery of double coverings
Sbornik. Mathematics, Tome 59 (1988) no. 2, pp. 339-348 
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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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[1] Serr Zh. P., Kurs arifmetiki, Mir, M., 1972 | MR | Zbl

[2] Kharshiladze A. F., “Ermitova $K$-teoriya i kvadratichnye rasshireniya kolets”, Tr. MMO, 41 (1980), 1–36 | MR | Zbl

[3] Kharshiladze A. F., “Gladkie i kusochno-lineinye struktury na proizvedeniyakh proektivnykh prostranstv”, Izv. AN SSSR. Ser. matem., 47 (1983), 366–383 | MR | Zbl

[4] Wall C. T. C., Surgery on compact manifolds, Acad. Press., New York, 1970 | MR

[5] Hambleton I., Projective surgery obstructions on closed manifolds, Lecture notes in math., 943, 1982, p. 102–131 | MR

[6] Wall C. T. C., “Classification of hermitian forms, VI. Group rings”, Ann. Math., 103 (1976), 1–80 | DOI | MR | Zbl

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