Title: The Brown-Peterson spectrum is not $E_{2(p^2+2)}$ at odd primes,
Abstract: Recently, Lawson has shown that the 2-primary Brown-Peterson spectrum does
not admit the structure of an $E_{12}$ ring spectrum, thus answering a question
of May in the negative. We extend Lawson's result to odd primes by proving that
the p-primary Brown-Peterson spectrum does not admit the structure of an
$E_{2(p^2+2)}$ ring spectrum. We also show that there can be no map $MU \to BP$
of $E_{2p+3}$ ring spectra at any prime.