Sub-Hopf-algebras of the Steenrod algebra

Author:

Adams J. F.,Margolis H. R.

Abstract

In (3) the second author has shown that all sub-Hopf-algebras of the mod 2 Steenrod algebra have a certain form; this resulthas been used in (1) and (2). The analogous result for the mod p Steenrod algebra, where p is an odd prime, is contained in (6). The object of this paper is to give a shorter proof of a slightly sharper result; we construct all the subalgebras in question. In the mod 2 case this sharper result has also been obtained by Anderson and Davis (2).

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference6 articles.

1. The Steenrod Algebra and Its Dual

2. (2) Anderson D. W. and Davis D. M. A Vanishing Theorem in Homological Algebra, to appear.

3. Modules over the Steenrod algebra

4. (6) Rosen S. S. On Torsion in Connective Complex Cobordism. Thesis, Northwestern University, 1972.

5. On the Structure of Hopf Algebras

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