The Bredon–Löffler Conjecture

نویسندگان

  • Robert Bruner
  • John Greenlees
چکیده

Greenlees thanks the University of She eld for URF grant number RSG/339. The large commutative diagrams in this article were typeset using Paul Taylor's diagram package. We give a brief exposition of results of Bredon and others on passage to fixed points from stable C2 equivariant homotopy (where C2 is the group of order two) and its relation to Mahowald’s root invariant. In particular we give Bredon’s easy equivariant proof that the root invariant doubles the stem; the conjecture of the title is equivalent to the Mahowald–Ravenel conjecture that the root invariant never more than triples the stem. Our main result is to verify by computation that the algebraic analogue of this holds in an extensive range: this improves on results of [Mahowald and Shick 1983].

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تاریخ انتشار 2006