Log in :: RSS/Atom Feeds
Pacific Journal of Mathematics

The realization of polynomial algebras as cohomology rings.

Allan Clark and John Ewing

Source: Pacific J. Math. Volume 50, Number 2 (1974), 425-434.

Primary Subjects: 55B35
Secondary Subjects: 55D20

Full-text: Open access

Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.pjm/1102913229
Zentralblatt MATH identifier: 0333.55002
Mathematical Reviews number (MathSciNet): MR0367979

References

[1] Z. I. Borevich and I. R. Shafarevich, Number Theory, New York, Academic Press, 1966.
Mathematical Reviews (MathSciNet): MR33:4001
[2] N. Bourbaki, Groupes et Algebres de Lie, Paris, Hermann, 1968.
Mathematical Reviews (MathSciNet): MR39:1590
[3] H. Cartan and S. Eilenberg, Homological Algebra, Princeton University Press, 1956.
Mathematical Reviews (MathSciNet): MR17:1040e
Zentralblatt MATH: 0075.24305
[4] A. Clark, On z of finite dimensionalH-spaces, Ann. of Math., 78 (1963), 193-196.
Mathematical Reviews (MathSciNet): MR27:1956
Zentralblatt MATH: 0121.39803
[5] S. Eilenberg and J. C. Moore, Homological algebra and fibrations, Colloque de Topologie, Bruxelles, (1964), 81-90.
Mathematical Reviews (MathSciNet): MR36:1511
Zentralblatt MATH: 0138.18205
[6] W. Feit, Characters of Finite Groups, New York, Benjamin and Co., 1967.
Mathematical Reviews (MathSciNet): MR36:2715
Zentralblatt MATH: 0166.29002
[7] B. Huppert, Endliche Gruppen I, Berlin, Springer-Verlag, 1967.
Mathematical Reviews (MathSciNet): MR37:302
Zentralblatt MATH: 0217.07201
[8] J. C. Moore, Algebre homologique et homologie des espaces classifiants, Seminaire H. Cartan--J. C. Moore, 12 (1959/60) expose 7.
Zentralblatt MATH: 0115.17205
[9] R. Nakagawa and S. Ochiai, On the dimension of generators of a polynomial algebra over the mop Steenrod algebra, Proc. Japan Acad., 43 (1967), 932-936.
Mathematical Reviews (MathSciNet): MR37:6927
Zentralblatt MATH: 0206.25101
[10] G. C. Shepard, Unitary groups generated by reflections, Canad. J. Math., 5 (1953), 364-383.
Mathematical Reviews (MathSciNet): MR14:1060h
Zentralblatt MATH: 0052.16403
[11] Some problems on finite reflection groups, Lnseignement Mathematique, e Serie, t. 2 (1956), 42-48.
Mathematical Reviews (MathSciNet): MR18:191a
Zentralblatt MATH: 0071.36405
[12] G. C. Shepard and J. A. Todd, Finite unitaryreflection groups, Canad. J. Math., 6 (1954), 274-304.
Zentralblatt MATH: 0055.14305
[13] N. E. Steenrod, The cohomology algebra of a space, LnseignementMathematique, e Serie, t. 7 (1961), 153-178.
Mathematical Reviews (MathSciNet): MR28:3422
Zentralblatt MATH: 0104.39604
[14] N. E. Steenrod, Polynomial algebras over the algebra of cohomology operations, H-spaces, Neuchatel (Suisse) Aout, 1970. Lecture Notes in Mathematics 196, Springer-Verlag.
Mathematical Reviews (MathSciNet): MR44:3316
Zentralblatt MATH: 0222.55025
[15] D. Sullivan, Geometric Topology Part I, M. I. T., April, 1971.
Mathematical Reviews (MathSciNet): MR58:13006a

2010 © Pacific Journal of Mathematics