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The nilpotence height of
Authors:G Walker  R M W Wood
Institution:Department of Mathematics, University of Manchester, Manchester M13 9PL, United Kingdom ; Department of Mathematics, University of Manchester, Manchester M13 9PL, United Kingdom
Abstract:A 20-year-old conjecture about the mod 2 Steenrod algebra $A<a7>The method of Walker and Wood is used to completely determine the nilpotence height of the elements <IMG ALIGN=MIDDLE ALT= 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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