302 INDEX r 2 r 208 s2r 202 t 2 r 218 discriminant 178 Reidemeister torsion 213 Simple homotopy theory The terms simple homotopy equivalence, simple homotopy type, stably free, 5-base, simple equivalence, simple isomorphism, based short exact sequence, Wh(ir), Whitehead torsion appear first in this book on pp. 22-27 readers un- familiar with them are referred to Milnor's survey article [M14] for a clear and readable account. Algebraic terms conventions on right and left modules matrix notation 2 "bar", x, ^Zn(g)g A , fJL Qk simple hermitian form standard plane, hyperbolic form, lagrangian quadratic form formation ui/f, 1 Ur, U Uri & J^r a (2 x 2 matrix) £ (matrix) SU,S'U,TU RU the category 2n categories ifpd, srfb Group actions Z2 5 Z2 join (of actions of spheres) suspension E (of actions of spheres) tame actions standard lens space L(^n~1(N) On(G) poly-^/ group Group cohomology, group rings (Wh7r)a Hn(Z2) (Tate Z2-cohomology) Hn(G) (Tate G-cohomology) G = Pontrjagin dual of G RG,QRG IG Rx = group of units of R 21 44 45 47 48 272 69 59 62 63 63 63 3 35 161,172 195 195-198 200 213 200,280 237 149 152,259 215 222 213 215 215,268

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