The integral cohomology rings of groups of order 𝑝³

Lewis, Gene

doi:10.1090/S0002-9947-1968-0223430-6

The integral cohomology rings of groups of order $p^{3}$
HTML articles powered by AMS MathViewer

by Gene Lewis

Trans. Amer. Math. Soc. 132 (1968), 501-529

DOI: https://doi.org/10.1090/S0002-9947-1968-0223430-6

PDF | Request permission

References

M. F. Atiyah, Characters and cohomology of finite groups, Inst. Hautes Études Sci. Publ. Math. 9 (1961), 23–64. MR 148722, DOI 10.1007/BF02698718
Humberto Cárdenas Trigos, The cohomology algebra of the complete product of a finite group and a cyclic group, An. Inst. Mat. Univ. Nac. Autónoma México 5 (1965), 2–12 (Spanish). MR 220801
Henri Cartan and Samuel Eilenberg, Homological algebra, Princeton University Press, Princeton, N. J., 1956. MR 0077480
Leonard Evens, The cohomology ring of a finite group, Trans. Amer. Math. Soc. 101 (1961), 224–239. MR 137742, DOI 10.1090/S0002-9947-1961-0137742-1
Leonard Evens, A generalization of the transfer map in the cohomology of groups, Trans. Amer. Math. Soc. 108 (1963), 54–65. MR 153725, DOI 10.1090/S0002-9947-1963-0153725-1
Leonard Evens, On the Chern classes of representations of finite groups, Trans. Amer. Math. Soc. 115 (1965), 180–193. MR 212099, DOI 10.1090/S0002-9947-1965-0212099-X
P. J. Hilton and D. Rees, Natural maps of extension functors and a theorem of R. G. Swan, Proc. Cambridge Philos. Soc. 57 (1961), 489–502. MR 124377, DOI 10.1017/s0305004100035544
G. Hochschild and J.-P. Serre, Cohomology of group extensions, Trans. Amer. Math. Soc. 74 (1953), 110–134. MR 52438, DOI 10.1090/S0002-9947-1953-0052438-8
Minoru Nakaoka, Homology of the infinite symmetric group, Ann. of Math. (2) 73 (1961), 229–257. MR 131874, DOI 10.2307/1970333
Minoru Nakaoka, Note on cohomology algebras of symmetric groups, J. Math. Osaka City Univ. 13 (1962), 45–55. MR 154905
N. E. Steenrod, Cohomology operations, Annals of Mathematics Studies, No. 50, Princeton University Press, Princeton, N.J., 1962. Lectures by N. E. Steenrod written and revised by D. B. A. Epstein. MR 0145525
Richard G. Swan, A new method in fixed point theory, Comment. Math. Helv. 34 (1960), 1–16. MR 115176, DOI 10.1007/BF02565923
Richard G. Swan, The $p$-period of a finite group, Illinois J. Math. 4 (1960), 341–346. MR 122856
Richard G. Swan, Periodic resolutions for finite groups, Ann. of Math. (2) 72 (1960), 267–291. MR 124895, DOI 10.2307/1970135
John Tate, Homology of Noetherian rings and local rings, Illinois J. Math. 1 (1957), 14–27. MR 86072
C. T. C. Wall, Resolutions for extensions of groups, Proc. Cambridge Philos. Soc. 57 (1961), 251–255. MR 178046, DOI 10.1017/s0305004100035155
Hans Zassenhaus, The Theory of Groups, Chelsea Publishing Co., New York, N. Y., 1949. Translated from the German by Saul Kravetz. MR 0030947