On the mod  cohomology of  |
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| Authors: | Ales Vavpetic Antonio Viruel |
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| Affiliation: | Faculty of Mathematics and Physics, University of Ljubljana, Jadranska 19, SI-1111 Ljubljana, Slovenia ; Dpto de Álgebra, Geometr{í}a y Topolog{í}a, Universidad de Málaga, Apdo correos 59, E29080 Málaga, Spain |
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| Abstract: | We study the mod  cohomology of the classifying space of the projective unitary group  . We first prove that conjectures due to J.F. Adams and Kono and Yagita (1993) about the structure of the mod  cohomology of the classifying space of connected compact Lie groups hold in the case of  . Finally, we prove that the classifying space of the projective unitary group  is determined by its mod  cohomology as an unstable algebra over the Steenrod algebra for  , completing previous work by Dwyer, Miller and Wilkerson (1992) and Broto and Viruel (1998) for the cases  . |
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| Keywords: | |
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