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• W2267438306 abstract "In cite{SCH1} Schuster proved that $mod$ 2 Morava $K$-theory $K(s)^*(BG)$ is evenly generated for all groups $G$ of order 32. There exist 51 non-isomorphic groups of order 32. In cite{H}, these groups are numbered by $1, cdots ,51$. For the groups $G_{38},cdots, G_{41}$, that fit in the title, the explicit ring structure is determined in cite{BJ}. In particular, $K(s)^*(BG)$ is the quotient of a polynomial ring in 6 variables over $K(s)^*(pt)$ by an ideal generated by explicit polynomials. In this article we present some calculations using the same arguments in combination with a theorem of cite{B0} on good groups in the sense of Hopkins-Kuhn-Ravenel. In particular, we consider the groups $G_{36},G_{37}$, each isomorphic to a semidirect product $(C_4times C_2times C_2)rtimes C_2$, the group $G_{34}cong (C_4times C_4)rtimes C_2$ and its non-split version $G_{35}$. For these groups the action of $C_2$ is diagonal, i.e., simpler than for the groups $G_{38},cdots, G_{41}$, however the rings $K(s)^*(BG)$ have the same complexity." @default.
• W2267438306 created "2016-06-24" @default.
• W2267438306 creator A5014708126 @default.
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• W2267438306 date "2014-12-08" @default.
• W2267438306 modified "2023-09-27" @default.
• W2267438306 title "Morava K-theory rings of the extensions of C_2 by the products of cyclic 2-groups" @default.
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• W2267438306 hasPublicationYear "2014" @default.
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