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The nilpotence height of $P_t^s$

Author(s): Kenneth G. Monks
Journal: Proc. Amer. Math. Soc. 124 (1996), 1297-1303.
MSC (1991): Primary 55S10, 55S05; Secondary 57T05
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Abstract: The method of Walker and Wood is used to completely determine the nilpotence height of the elements $\mbox{$P_t^s$}$ in the Steenrod algebra at the prime 2. In particular, it is shown that $(\mbox{$P_t^s$})^{2\lfloor s/t \rfloor+2}=0$ for all $s\ge 0$, $t\ge 1$. In addition, several interesting relations in $A$ are developed in order to carry out the proof.

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Additional Information:

Kenneth G. Monks
Affiliation: Department of Mathematics, University of Scranton, Scranton, Pennsylvania 18510
Email: monks@uofs.edu

DOI: 10.1090/S0002-9939-96-03150-4
PII: S 0002-9939(96)03150-4
Received by editor(s): June 28, 1994
Communicated by: Thomas Goodwillie
Copyright of article: Copyright 1996, American Mathematical Society

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