Small Subalgebras of Steenrod and Morava Stabilizer Algebras
نویسنده
چکیده
Let P (j) (resp. S(n)(j)) be the subalgebra of the Steenrod algebra Ap (resp. nth Morava stabilizer algebra) generated by reduced powers Ppi , 0 ≤ i ≤ j (resp. ti, 1 ≤ i ≤ j). In this paper we identify the dual P (j − 1)∗ of P (j − 1) (resp. S(n)(j), for j ≤ n) with some Frobenius kernel (resp. Fpn -points) of a unipotent subgroup G(j + 1) of the general linear algebraic group GLj+1. Using these facts, we get the additive structure of H∗(P (1)) = ExtP (1)(Z/p, Z/p) for odd primes.
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