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The nilpotence height of Ppn

Published online by Cambridge University Press:  01 January 1998

G. WALKER  and
R. M. W. WOOD
G. WALKER
Affiliation:
Department of Mathematics, University of Manchester, Oxford Road, Manchester M13 9PL, UK; e-mail: grant@ma.man.ac.uk, reg@ma.man.ac.uk
R. M. W. WOOD
Affiliation:
Department of Mathematics, University of Manchester, Oxford Road, Manchester M13 9PL, UK; e-mail: grant@ma.man.ac.uk, reg@ma.man.ac.uk
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Abstract

In [10] it was shown that the element Sq2n has nilpotence height 2n+2 in the mod2 Steenrod algebra. Here the method and result are generalised to show that for an odd prime p the element Ppn has nilpotence height p(n+1) in the modp Steenrod algebra. Some of the other results of [10] are also generalised to odd primes p.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 123 , Issue 1 , January 1998 , pp. 85 - 93
Copyright
Cambridge Philosophical Society 1998

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