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On the structure of graded formal groups of finite characteristic

Published online by Cambridge University Press:  24 October 2008

Claude Schochet
Affiliation:
The Hebrew University of Jerusalem

Extract

The structure of a wide range of Hopf algebras over fields is well known. Corresponding theorems for Hopf algebras over graded rings do not exist. This note is devoted to a Decomposition Theorem for certain Hopf algebras over rings (of finite characteristic) of the types which occur in topology, and a study of homological properties of the factors which therein arise.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1973

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References

REFERENCES

(1)Adams, J. F.Quilen's Work on Formal Groups and Complex Cobordism. Univ. of Chicago Lectures, 1970.Google Scholar
(2)Anderson, D. W. and Hodgkin, L.The K-theory of Eilenberg–MacLane complexes. Topology 7 (1968), 317329.CrossRefGoogle Scholar
(3)Buchstaber, V. M. and Miščenko, A. S.K-theory in the category of infinite cell complexes. Izv. Akad. Nauk SSSR Ser. Mat. 32 (1968), 560604, Math. U.S.S.R. Isv. 2 (1968), 515–556.Google Scholar
(4)Fröhlich, A.Formal Groups, Lecture Notes in Mathematics, vol. 74, Springer-Verlag, Berlin–Heidelberg–N.Y., 1968.Google Scholar
(5)Manin, YU. I.The theory of commutative formal groups over fields of finite characteristic. Russian Math. Surveys 18 (1963), 184.Google Scholar
(6)MilnorJ. and Moore, J. C. J. and Moore, J. C.On the structure of Hopf algebras. Ann. of Math. 81 (1965), 211264.CrossRefGoogle Scholar
(7)Smith, L. Lectures on the Complex Bordism of Finite Complexes. Applications. Proc. Adv. Study Inst. Alg. Top. (1970), Aarhus, Denmark.Google Scholar