All extensions of $C_2$ by $C_{2^{n+1}}\times C_{2^{n+1}}$ are good

Malkhaz Bakuradze

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arXiv · 1603.04021

All extensions of $C_2$ by $C_{2^{n+1}}\times C_{2^{n+1}}$ are good

Malkhaz Bakuradze

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Abstract

Let $C_{m} $ be a cyclic group of order $m$. We prove that if the group $G$ fits into an extension $1\to C_{2^{n+1}}^2\to G\to C_2\to 1$ then $G$ is good in the sense of Hopkins-Kuhn-Ravenel, i.e., $K(s)^*(BG)$ is evenly generated by transfers of Euler classes of complex representations of subgroups of $G$. Previously this fact was known for $n=1$.

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BibTeX RIS

Malkhaz Bakuradze. 2016-03-13. All extensions of $C_2$ by $C_{2^{n+1}}\times C_{2^{n+1}}$ are good. https://arxiv.org/abs/1603.04021

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