The Brown-Peterson spectrum is not E 2(p 2+2) at odd primes

We show that the odd-primary Brown-Peterson spectrum BP does not admit the structure of an E 2(p 2 +2) ring spectrum and that there can be no map MU-* BP of E 2p+3 ring spectra. We also prove the same results for truncated Brown-Peterson spectra BP(n) of height n >= 4. This extends results of Lawson at the prime 2. (c) 2024 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.