Some quotients of the Steenrod algebra

Davis, Donald M.

doi:10.1090/S0002-9939-1981-0627706-1

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

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Some quotients of the Steenrod algebra
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by Donald M. Davis

Proc. Amer. Math. Soc. 83 (1981), 616-618

DOI: https://doi.org/10.1090/S0002-9939-1981-0627706-1

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Abstract:

The quotient of the Steenrod algebra obtained by killing all except one of the generators ${\text {S}}{{\text {q}}^{{2^j}}}$ is studied.

References

D. W. Anderson, E. H. Brown Jr., and F. P. Peterson, The structure of the Spin cobordism ring, Ann. of Math. (2) 86 (1967), 271–298. MR 219077, DOI 10.2307/1970690
Donald M. Davis, On the Segal conjecture for $Z_{2}\times Z_{2}$, Proc. Amer. Math. Soc. 83 (1981), no. 3, 619–622. MR 627705, DOI 10.1090/S0002-9939-1981-0627705-X
John Milnor, The Steenrod algebra and its dual, Ann. of Math. (2) 67 (1958), 150–171. MR 99653, DOI 10.2307/1969932