Polynomial behavior of the Honda formal group law

TL;DR

This paper calculates the polynomial form of the Honda formal group law in modulo p Morava K-theory at prime p and explores its applications to specific examples.

Contribution

It provides explicit calculations of the Honda formal group law in a new algebraic setting and demonstrates its applications.

Findings

Explicit polynomial expression for the Honda formal group law in modulo p Morava K-theory.

Application of the calculated law to relevant algebraic examples.

Enhanced understanding of formal group laws in algebraic topology.

Abstract

This note provides the calculation of the formal group law $F(x,y)$ in modulo $p$ Morava $K$-theory at prime $p$ and $s>1$ as an element in $K(s)^*[x][[y]]$ and one application to relevant examples.