Mod 2 cohomology of 2-local finite groups of low rank

Details Mod 2 cohomology of 2-local finite groups of low rank Mod 2 cohomology of 2-local finite groups of low rank

2007-10-31

arxiv.org/abs/0710.5926v1

Mathematics

Algebraic Topology

Scientific paper

We determine the mod 2 cohomology over the Steenrod algebra of the
classifying space of a free loop group LG for G=Spin(7), Spin(8), Spin(9), F_4,
and DI(4). Then we show that it is isomorphic as algebras over the Steenrod
algebra to the mod 2 cohomology of the classifying space of a certain 2-local
finite group of type G.

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