The nilpotence height of 𝑃_{𝑡}^{𝑠} for odd primes
Articles > Article ยท 1999
Authors: Ismet Karaca
Transactions of the American Mathematical Society, International, WoS, 1999, vol 351, pp 547-558
DOI: 10.1090/s0002-9947-99-01906-6
Summary
K. G. Monks has recently shown that the element P t s P^{s}_{t} has nilpotence height 2 [ s t ] + 2 2[\frac {s}{t}] + 2 in the mod 2 2 Steenrod algebra. Here the method and result are generalized to show that for an odd prime p p the element P t s P^{s}_{t} has nilpotence height p [ s t ] + p p[\frac {s}{t}] + p in the mod p p Steenrod algebra.