MoravaK-theory rings for the groupsG38, …,G41of order 32

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

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