Abstract
$\def\mathbi#1{\textbf{\em#1}}$ Let $G$ be a nonabelian $p$ group of order $p^3$ (i.e., extraspecial $p$-group), and $BG$ its classifying space. Then $CH^{*}(BG) \cong H^{2*}(BG)$ where $CH^{*}(-)$ is the Chow ring over the field $k = \textbf{C}$. We also compute mod(2) motivic cohomology and motivic cobordism of $BQ_{8}$ and $BD_{8}$.
Citation
Nobuaki YAGITA. "Chow rings of nonabelian p-groups of order p3." J. Math. Soc. Japan 64 (2) 507 - 531, April, 2012. https://doi.org/10.2969/jmsj/06420507
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