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References
A. Bak, K-theory of forms, Ann. of Math. Study, 98(1981).
A. Bak and M. Kolster, The computation of odd dimensional projective surgery groups of all finite groups, Topology, 21(1982), 35–64.
A. Bak and B. Williams, Surgery and higher K-theory, in preparation.
H. Bass, Algebraic K-theory, Benjamin (1969).
H. Bass, Lectures on topics in algebraic K-theory, Tata Institute (1967).
W. Browder and G. R. Livesay, Fixed point free involutions on homotopy spheres, Tôkoku J. Math., 25(1973), 69–88.
S. Cappell, A splitting theorem for manifolds and surgery groups, Bull. Amer. Math. Soc., 77(1971), 281–286.
S. Cappell and J. Shaneson, Pseudo-free group actions I., Proc. 1978 Arhus Conference on Algebraic Topology, Springer Lecture Notes 763(1979), 395–447.
S. Cappell and J. Shaneson, A counterexample on the oozing problem for closed manifolds, ibid (1979), 627–634.
G. Carlsson and J. Milgram, The structure of odd L-groups, Proc. 1978 Waterloo Conference on Algebraic Topology, Springer Lecture Notes 741(1979), 1–72.
J. W. S. Cassels and A. Fröhlich, Algebraic Number Theory, Washington: Thompson (1967).
P. Connor, Notes on the Witt classification of Hermitian innerproduct spaces over a ring of algebraic integers, Texas (1979).
J. Davis, The surgery semicharacteritic, to appear.
A. Dress, Induction and structure theorems for orthogonal representations of finite groups, Ann. of Math., 102(1975), 291–325.
J. M. Fontaine, Sur la décomposition des algèbres de groupes, Ann. Sci. Ecole Norm. Sup., 4(1971), 121–180.
A. Fröhlich and A. M. McEvett, Forms over rings with involution, J. Algebra 12(1969), 79–104.
A. Fröhlich and C. T. C. Wall, Equivariant Brauer groups in algebraic number theory, Bull. Soc. Math. France, 25(1971), 91–96.
I. Hambleton, Projective surgery obstructions on closed manifolds, to appear.
I. Hambleton and I. Madsen, Semi-free actions on IRn with one fixed point, Current trends in Algebraic Topology — Proc. 1981 Conference at University of Western Ontario.
I. Hambleton and J. Milgram, The surgery obstruction groups for finite 2-groups, Invent. Math., 63(1980), 33–52.
I. Hambleton, L. Taylor, and B. Williams, in preparation.
M. Kneser, Lectures on Galois cohomology of classical groups, Tata Institute (1969).
M.-A. Knus and A. Ojanguren, Théorie de la descente et Algèbres d'Azumaya, Springer Lecture Notes 389(1974).
M. Kolster, Computations of Witt groups of finite groups, Math. Ann., 241(1979), 129–158.
M. Kolster, Even dimensional projective surgery groups of finite groups, to appear.
T. Y. Lam, The algebraic theory of quadratic forms, Benjamin (1980), 2nd printing with revisions.
D. W. Lewis, Exact sequences of graded modules over a graded Witt ring, to appear.
I. Madsen, Reidemeister torsion, surgery invariants and spherical space forms, Proc. London Math. Soc., 46(1983), 193–240.
S. Maumary, Proper surgery groups and Wall-Novikov groups, Proc. 1972 Battelle Seattle Conference on Algebraic K-theory, Vol. III, Springer Lecture Notes 343(1973), 526–539.
S. López de Medrano, Involutions on manifolds, Springer (1971).
J. Milnor and D. Husemoller, Symmetric bilinear forms, Springer (1972).
O. T. O'Meara, Introduction to quadratic forms, Springer (1962).
W. Pardon, The exact sequence for a localization for Witt groups II: Numerical invariants of odd-dimensional surgery obstructions, Pac. J. Math., 102(1982), 123–170.
E. K. Pederson and A. A. Ranicki, Projective surgery theory, Topology, 19(1980), 239–254.
A. A. Ranicki, Exact sequences in the algebraic theory of surgery, Princeton (1981).
A. A. Ranicki, On the algebraic L-theory of semisimple rings, J. Algebra, 50(1978), 242–243.
A. A. Ranicki, The algebraic theory of surgery I. Foundations, Proc. Lond. Math. Soc., (3)40(1980), 87–192.
I. Reiner, Maximal orders, Academic Press (1975).
K. W. Roggenkamp, A remark on separable orders, Canad. Math. Bull., 12(1969), 453–455.
J. P. Serre, Linear representations of finite groups, Springer (1977).
J. P. Serre, Local fields, Springer (1979).
J. Shaneson, Wall's surgery obstruction groups for G × ZZ, Ann. of Math., 90(1969), 296–334.
R. Swan, K-theory of finite groups and orders, Springer Lecture Notes 149(1970).
L. R. Taylor and B. Williams, Surgery on closed manifolds, to appear.
C. T. C. Wall, Surgery on compact manifolds, Academic Press (1970).
C. T. C. Wall, On the axiomatic foundation of the theory of Hermitian forms, Proc. Camb. Phil. Soc., 67(1970), 243–250.
C. T. C. Wall, Foundations of algebraic L-theory, Proc. 1972 Battelle Seattle Conference on Algebraic K-theory, Vol. III, Springer Lecture Notes 343(1973), 266–300.
C. T. C. Wall, On the classification of Hermitian forms II. Semisimple rings, Invent. Math., 18(1972), 119–141.
C. T. C. Wall, III. Complete semilocal rings, ibid.,, 19(1973), 59–71.
C. T. C. Wall, IV. Adele rings, ibid.,, 23(1974), 241–260.
C. T. C. Wall, V. Global rings, ibid.,, 23(1974), 261–288.
C. T. C. Wall, VI. Group rings, Ann. of Math., 103(1976), 1–80.
C. T. C. Wall, Formulae for surgery obstructions, Topology, 15(1976), 189–210.
M. L. Warschauer, The Witt group of degree k maps and asymmetric inner product spaces, Springer Lecture Notes, 914(1982).
L. C. Washington, Introduction to cyclotomic fields, Springer Graduate texts in mathematics, 83(1982).
T. Yamada, The Schur subgroup of the Brauer group, Springer Lecture Notes, 397(1974).
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Hambleton, I., Taylor, L., Williams, B. (1984). An introduction to maps between surgery obstruction groups. In: Madsen, I.H., Oliver, R.A. (eds) Algebraic Topology Aarhus 1982. Lecture Notes in Mathematics, vol 1051. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0075564
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