Algebraic Topology Waterloo 1978: Proceedings of a by G. Carlsson, R. James Milgram (auth.), Peter Hoffman, Victor

By G. Carlsson, R. James Milgram (auth.), Peter Hoffman, Victor Snaith (eds.)

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Extra resources for Algebraic Topology Waterloo 1978: Proceedings of a Conference Sponsored by the Canadian Mathematical Society, NSERC (Canada), and the University of Waterloo, June 1978

Example text

10 follows. 9 we must first show a result . 11: finite 2-group. We defer the proof for the moment. 11 implies L+,tor,q(~ (~» o,f 2 We now study its kernel. looking at or +,q Lo entirely calculated in is onto. This breaks up into 2 parts, when we are Infue former case the group • [C] is and, consequently we defer the complete determination of to [C]. 13: The image 1 Z/2 with generator c: :) - We thank W. 12. 9 now follows. 9 also gives us representative generators for this group. l(ii) so in this case h (Z/2)i+2 .

We defer the proof for the moment. 11 implies L+,tor,q(~ (~» o,f 2 We now study its kernel. looking at or +,q Lo entirely calculated in is onto. This breaks up into 2 parts, when we are Infue former case the group • [C] is and, consequently we defer the complete determination of to [C]. 13: The image 1 Z/2 with generator c: :) - We thank W. 12. 9 now follows. 9 also gives us representative generators for this group. l(ii) so in this case h (Z/2)i+2 . l(i) then case it may be verified that K (Z(lT»2 o Z/2.

If 8 = 8 + i * CI. satisfies is also a lift of :: -* (9 08) =8" i, and all liftings satisfying this condition are of that form. since 8 a. Note that the map is an isomorphism.

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