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Morava K-theory rings for the groups G38, …, G41 of order 32

Published online by Cambridge University Press:  06 December 2013

Malkhaz Bakuradze  and
Mamuka Jibladze
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Abstract

B. Schuster [19] proved 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 of order 32 with the numbers 38, 39, 40 and 41 in the Hall-Senior list [11], 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.

Keywords

TransferMorava K-theory55N2055R1255R40

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Type
Research Article
Information
Journal of K-Theory , Volume 13 , Issue 1 , February 2014 , pp. 171 - 198
Copyright
Copyright © ISOPP 2014 

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