%0 Journal Article
%T Minc's generating function and a Segal conjecture for Thom spectra. La fonction generatrice de Minc et une conjecture de Segal pour certains spectres de Thom
%A Dang Ho Hai Nguyen
%A Lionel Schwartz
%A Ngoc Nam Tran
%J Mathematics
%D 2009
%I arXiv
%X One constructs minimal injective resolutions for certain unstable modules that appears to be the mod 2 cohomology of Thom spectra. The terms of the resolution are tensor products of Brown-Gitler modules and Steinberg modules introduced by S. Mitchell and S. Priddy. A combinatorial result of Andrews shows that the alternating sum of the Poincare series of the considered modules is zero. One gives homotopical applications of this result.
%U http://arxiv.org/abs/0907.3698v1