Nilpotence and torsion in the cohomology of the Steenrod algebra
Author:
Kenneth G. Monks
Journal:
Trans. Amer. Math. Soc. 333 (1992), 903912
MSC:
Primary 55S10; Secondary 16E40, 16W30, 55U99, 57T05
MathSciNet review:
1068931
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Abstract: In this paper we prove the existence of global nilpotence and global torsion bounds for the cohomology of any finite Hopf subalgebra of the Steenrod algebra for the prime . An explicit formula for computing such bounds is then obtained. This is used to compute bounds for for .
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 C. Wilkerson, The cohomology algebras of finite dimensional Hopf algebras, Trans. Amer. Math. Soc. 264 (1981), 137150. MR 597872 (82e:16019)
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DOI:
http://dx.doi.org/10.1090/S0002994719921068931X
PII:
S 00029947(1992)1068931X
Article copyright:
© Copyright 1992
American Mathematical Society
