Excess and conjugation in the Steenrod algebra
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- by Andrew M. Gallant PDF
- Proc. Amer. Math. Soc. 76 (1979), 161-166 Request permission
Abstract:
Some formulas concerning conjugation are generalized to certain sub-Hopf-algebras of the Steenrod algebra. A number-theoretic result enables explicit computation of the excess for a certain family of Milnor basis elements. Finally, a family of self-conjugate elements is produced.References
- J. F. Adams and H. R. Margolis, Sub-Hopf-algebras of the Steenrod algebra, Proc. Cambridge Philos. Soc. 76 (1974), 45–52. MR 341487, DOI 10.1017/s0305004100048714
- Donald M. Davis, The antiautomorphism of the Steenrod algebra, Proc. Amer. Math. Soc. 44 (1974), 235–236. MR 328934, DOI 10.1090/S0002-9939-1974-0328934-1
- D. Kraines, On excess in the Milnor basis, Bull. London Math. Soc. 3 (1971), 363–365. MR 300271, DOI 10.1112/blms/3.3.363
- John Milnor, The Steenrod algebra and its dual, Ann. of Math. (2) 67 (1958), 150–171. MR 99653, DOI 10.2307/1969932
Additional Information
- © Copyright 1979 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 76 (1979), 161-166
- MSC: Primary 55S10
- DOI: https://doi.org/10.1090/S0002-9939-1979-0534410-8
- MathSciNet review: 534410