The $BP\langle 2 \rangle$-cooperations at odd primes

TL;DR

This paper extends the analysis of the co-operations algebra for the second truncated Brown-Peterson spectrum from prime 2 to odd primes, providing necessary modifications for this generalization.

Contribution

It adapts previous results on the co-operations algebra at prime 2 to odd primes, broadening the understanding of the spectrum's algebraic structure.

Findings

Co-operations algebra structure at odd primes determined

Necessary modifications for odd primes identified

Extension of previous prime 2 results to odd primes

Abstract

In previous work, the author analyzed the co-operations algebra for the second truncated Brown-Peterson spectrum at the prime $p=2$. The purpose of this paper is to carry out the necessary modifications to odd primes.