Characteristic classes for permutation representations. (English) Zbl 0494.57018
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 groupsReferences:
[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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