Cohomological correlations for sets of singular points of the actions of $Z/4$ group by $(S^n)^k$

Authors

  • L. P. Plakhta Ін-т прикл. пробл. механіки і математики АН України, Львів

Keywords:

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Abstract

We investigate $Z/2$-graded cohomology modules with coefficients in the field $F_2$ of sets of singular points of the complex actions of the group $Z/4$ on spaces $X$ whose cohomology rings are isomorphic to $H* ((S^n)^k, F_2)$.

References

Тammo tom Dieck. Transformation groups.— New York : Gruyter, 1987.— 312 p.

Бредон Г. Введение в теорию компактных групп преобразований.— М. : Наука, 1980.— 440 с.

Browder W. Cohomology and group actions // Invent. math.— 1983.— 71.— P. 599—607.

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Published

03.08.1992

Issue

Vol. 44 No. 7 (1992)

Section

Short communications

How to Cite

Plakhta , L. P. “Cohomological Correlations for Sets of Singular Points of the Actions of $Z 4$ Group by $(S^n)^k$”. Ukrains’kyi Matematychnyi Zhurnal, vol. 44, no. 7, Aug. 1992, pp. 991-5, https://umj.imath.kiev.ua/index.php/umj/article/view/8133.