3-dimensional cohomology of the mod $p$ Steenrod algebra.
نویسندگان
چکیده
منابع مشابه
The Cohomology Algebra of a Subalgebra of the Steenrod Algebra
We compute the cohomology algebra of P (1), the subalgebra of the Steenrod algebra generated by P 1 and P p. This completes a partial result given by Arunas Liulevicius in 1962 and provides explicit representatives in the cobar construction for all but one of the algebra generators.
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The algebra S of symmetric invariants over the field with two elements is an unstable algebra over the Steenrod algebra A, and is isomorphic to the mod two cohomology of BO , the classifying space for vector bundles. We provide a minimal presentation for S in the category of unstable A-algebras, i.e., minimal generators and minimal relations. From this we produce minimal presentations for vario...
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We study the mod p cohomology of the classifying space of the projective unitary group PU(p). We first prove that conjectures due to J.F. Adams and Kono and Yagita (1993) about the structure of the mod p cohomology of the classifying space of connected compact Lie groups hold in the case of PU(p). Finally, we prove that the classifying space of the projective unitary group PU(p) is determined b...
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ژورنال
عنوان ژورنال: MATHEMATICA SCANDINAVICA
سال: 1980
ISSN: 1903-1807,0025-5521
DOI: 10.7146/math.scand.a-11876