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The nilpotence height of $P^{s}_{t}$ for odd primes

Author(s): Ismet Karaca
Journal: Trans. Amer. Math. Soc. 351 (1999), 547-558.
MSC (1991): Primary 55S10, 55S05; Secondary 57T05
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Abstract: K. G. Monks has recently shown that the element $P^{s}_{t}$ has nilpotence height $2[\frac{s}{t}] + 2$ in the mod $2$ Steenrod algebra. Here the method and result are generalized to show that for an odd prime $p$ the element $P^{s}_{t}$ has nilpotence height $p[\frac{s}{t}] + p$ in the mod $p $ Steenrod algebra.

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Additional Information:

Ismet Karaca
Affiliation: Department of Mathematics, Lehigh University, Bethlehem, Pennsylvania 18015
Address at time of publication: Department of Mathematics, Ege University, Bornova, Izmir 35100, Turkey
Email: karaca@fenfak.ege.edu.tr

DOI: 10.1090/S0002-9947-99-01906-6
PII: S 0002-9947(99)01906-6
Received by editor(s): May 16, 1996
Additional Notes: I would like to thank sincerely my PhD. adviser Professor Donald M. Davis for every piece of advice and guidance. This paper would not exist without his help.
Copyright of article: Copyright 1999, American Mathematical Society

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The following works have cited this article

R.M.W. WOOD, Problems in The Steenrod Algebra, Bull. London Math. Soc. (5) 30 (1998), 449-517. (English)

Dagmer M. MEYER, Stripping and Conjugations in the Maod-p Steenrod Algebra and its Dual, Homology, Homotopy and Applications (1) 2 (2000), 1-16.

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