Abstract
Let $k$ be a field of positive characteristic $p$. First we describe some specific subfunctors of the Burnside functor $ k \otimes_{\mathbb {Z}} B $. We prove next that the restriction of the functor of rational representations $ k \otimes_{\mathbb {Z}} {R}_{\mathbb{Q}} $ to abelian finite $p$-groups, has a unique maximal filtration $$ \qquad k \otimes_{\mathbb {Z}} {R}_{\mathbb{Q}} = \overline{I_{1}} \supseteq \overline{I_{2}} \supseteq \overline{I_{3}} \supseteq \raisebox{0.5ex}{\ldots}$$
Citation
Ismaïl Bourizk. "A remark on a functor of rational representations." Bull. Belg. Math. Soc. Simon Stevin 13 (1) 149 - 157, March 2006. https://doi.org/10.36045/bbms/1148059340
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