Document Zbl 0494.57018

Characteristic classes for permutation representations. (English) Zbl 0494.57018

Math. Proc. Camb. Philos. Soc. 90, 265-272 (1981).

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MSC:

57S17	Finite transformation groups
55R40	Homology of classifying spaces and characteristic classes in algebraic topology
20J06	Cohomology of groups
55S05	Primary cohomology operations in algebraic topology
57R20	Characteristic classes and numbers in differential topology
55N20	Generalized (extraordinary) homology and cohomology theories in algebraic topology

Keywords:

characteristic classes for permutation representations; cohomology theory with exterior power operations; ordinary cohomology; unitary cobordism; Stiefel-Whitney class; Burnside ring; cohomology of the symmetric groups

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References:

[1]	Tom Dieck, Springer Lecture Notes in Mathematics 766 (1979) · doi:10.1007/BFb0085965
[2]	Stretch, Math. Proc. Camb. Phil. Soc. 90 pp 273– (1981)
[3]	Segal, New Developments in Topology 11 pp 105– (1974) · Zbl 0265.00013 · doi:10.1017/CBO9780511662607.010
[4]	Laitinen, Math. Scand. 44 pp 37– (1979) · Zbl 0389.16021 · doi:10.7146/math.scand.a-11795
[5]	DOI: 10.1016/0040-9383(71)90018-8 · Zbl 0219.55013 · doi:10.1016/0040-9383(71)90018-8
[6]	DOI: 10.2307/1970333 · Zbl 0099.25301 · doi:10.2307/1970333
[7]	Segal, Proc. Int. Congress of Mathematicians 2 pp 59– (1970)

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