Author:
Bakuradze Malkhaz,Jibladze Mamuka
Abstract
AbstractB. Schuster [19] proved that themod2 MoravaK-theoryK(s)*(BG) is evenly generated for all groupsGof order 32. For the four groupsGof order 32 with the numbers 38, 39, 40 and 41 in the Hall-Senior list [11], the ringK(2)*(BG) has been shown to be generated as aK(2)*-module by transferred Euler classes. In this paper, we show this for arbitrarysand compute the ring structure ofK(s)*(BG). Namely, we show thatK(s)*(BG) is the quotient of a polynomial ring in 6 variables overK(s)*(pt) by an ideal for which we list explicit generators.
Publisher
Cambridge University Press (CUP)
Subject
Geometry and Topology,Algebra and Number Theory
Reference29 articles.
1. Induced representations, transferred Chern classes and Morava rings K(s)*(BG): Some calculations
2. Modules of differentials of the Atiyah-Hirzebruch spectral sequence;Buchstaber;Matem. Sbornik,1969
3. Modules of differentials of the Atiyah-Hirzebruch spectral sequence. II;Buchstaber;Matem. Sbornik,1970
4. The fixed point transfer of fibre-preserving maps
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