Cohomology for groups of rankpG=2 and Brown-Peterson cohomology

Nobuaki YAGITA

doi:10.2969/jmsj/04540627

Cohomology for groups of rank_pG=2 and Brown-Peterson cohomology

Nobuaki YAGITA

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JOURNAL FREE ACCESS

1993 Volume 45 Issue 4 Pages 627-644

DOI https://doi.org/10.2969/jmsj/04540627

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Published: 1993 Received: September 03, 1991 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: TITLE Details: Wrong : Cohomology for groups of rank_pG=2 and Brown-Peterson cohomology
Right : Cohomology for groups of rank_pG=2 and Brown-Peterson cohomology

Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : [A] M. Atiyah, Characters and the cohomology of finite groups, Publ. Math. IHES, 9 (1961), 23-64.
[H 1] J. Huebschmann, Cohomology of metacyclic groups, preprint.
[H 2] J. Huebschmann, Chern classes for metacyclic groups, preprint.
[H-K-R] M. Hopkins, N. Kuhn and D. Ravenel, Generalized group characters and complex oriented cohomology theories, preprint.
[La 1] P. Landweber, Homological properties of modules over MU_*(MU) and BP_*(BP), Amer. J. Math., 98 (1976), 591-610.
[La 2] P. Landweber, Elements of infinite filtration in complex cobordism, Math. Scand., 30 (1972), 223-226.
[Ly 1] I. Leary, The integral cohomology rings of some p-groups, Math. Proc. Cambridge Philos. Soc., 110 (1991), 25-32.
[Ly 2] I. Leary, Thesis in Cambridge University, 1990.
[L-Y] I. Leary and N. Yagita, Some examples in the integral and Brown-Peterson cohomology of p-groups, Bull. London Math. Soc., 24 (1992), 165-168.
[Ls] G. Lewis, The integral cohomology rings of groups of order p³, Trans. Amer. Math. Soc., 132 (1968), 501-529.
[Q] D. Quillen, The spectrum of an equivariant cohomology ring I, II, Ann. of Math., 94 (1971), 549-572, 573-602.
[T-Y 1, 2] M. Tezuka and N. Yagita, Cohomology of finite groups and Brown-Peterson cohomology I, II, Lecture Notes in Math., 1370, 1418, Springer, 1989, 1990, pp. 396-408, pp. 57-69.
[Th 1] C.B. Thomas, Chern classes and metacyclic p-groups, Mathematika, 18 (1971), 196-200.
[Th 2] C. B. Thomas, Filtrations on the representation ring of a finite group, Contemp. Math., 19 (1983), 397-405.
[Th 3] C. B. Thomas, Characteristic classes and cohomology of finite groups, Cambridge Univ. Press, 1986.
[Hp] B. Huppert, Endliche Gruppen I, Springer-Verlag, 1966.

Right : [A] M. Atiyah, Characters and the cohomology of finite groups, Publ. Math. IHES, 9 (1961), 23-64.
[H 1] J. Huebschmann, Cohomology of metacyclic groups, preprint.
[H 2] J. Huebschmann, Chern classes for metacyclic groups, preprint.
[H-K-R] M. Hopkins, N. Kuhn and D. Ravenel, Generalized group characters and complex oriented cohomology theories, preprint.
[La 1] P. Landweber, Homological properties of modules over MU_*(MU) and BP_*(BP), Amer. J. Math., 98 (1976), 591-610.
[La 2] P. Landweber, Elements of infinite filtration in complex cobordism, Math. Scand., 30 (1972), 223-226.
[Ly 1] I. Leary, The integral cohomology rings of some p-groups, Math. Proc. Cambridge Philos. Soc., 110 (1991), 25-32.
[Ly 2] I. Leary, Thesis in Cambridge University, 1990.
[L-Y] I. Leary and N. Yagita, Some examples in the integral and Brown-Peterson cohomology of p-groups, Bull. London Math. Soc., 24 (1992), 165-168.
[Ls] G. Lewis, The integral cohomology rings of groups of order p³, Trans. Amer. Math. Soc., 132 (1968), 501-529.
[Q] D. Quillen, The spectrum of an equivariant cohomology ring I, II, Ann. of Math., 94 (1971), 549-572, 573-602.
[T-Y 1, 2] M. Tezuka and N. Yagita, Cohomology of finite groups and Brown-Peterson cohomology I, II, Lecture Notes in Math., 1370, 1418, Springer, 1989, 1990, pp. 396-408, pp. 57-69.
[Th 1] C. B. Thomas, Chern classes and metacyclic p-groups, Mathematika, 18 (1971), 196-200.
[Th 2] C. B. Thomas, Filtrations on the representation ring of a finite group, Contemp. Math., 19 (1983), 397-405.
[Th 3] C. B. Thomas, Characteristic classes and cohomology of finite groups, Cambridge Univ. Press, 1986.
[Hp] B. Huppert, Endliche Gruppen I, Springer-Verlag, 1966.

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