MORAVA K-THEORY RINGS FOR THE GROUPS G38; · · · ;G41 OF ORDER 32

Author: Malkhaz Bakuradze
Co-authors: Mamuka Jibladze
Annotation:

It is known that the mod 2 Morava K-theory K(s)(BG) is evenly generated for all groups G of order 32. For the four groups G with the numbers 38, 39, 40 and 41 in the Hall-Senior list, the ring K(2)(BG) has been shown to be generated as a K(2)-module by transferred Euler classes. In this paper, we show this for arbitrary s and compute the ring structure of K(s)(BG). Namely, we show that K(s)(BG) is the quotient of a polynomial ring in 6 variables over K(s)(pt) by an ideal for which we list explicit generators. http://dx.doi.org/10.1017/is013011009jkt245

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