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Spherical classes and the Dickson algebra

Published online by Cambridge University Press:  01 September 1998

NGUYɘN H. V. HU'NG  and
FRANKLIN P. PETERSON
NGUYɘN H. V. HU'NG
Affiliation:
Department of Mathematics, National University of Hanoi, 90 Nguyên Trai Street, Hanoi, Vietnam; e-mail: nhvhung@it-hu.ac.vn
FRANKLIN P. PETERSON
Affiliation:
Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 01239; e-mail: fpp@math.mit.edu
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Abstract

We attack the conjecture that the only spherical classes in the homology of Q0S0 are Hopf invariant one and Kervaire invariant one elements. We do this by computing products in the E2-term of the unstable Adams spectral sequence converging to π∗(Q0S0), using results about the Dickson algebra and by studying the Lannes–Zarati homomorphism.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 124 , Issue 2 , September 1998 , pp. 253 - 264
Copyright
Cambridge Philosophical Society 1998

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