Morava k(s)^* -rings of the extensions of C_p by the products of good groups under diagonal action

TL;DR

This paper investigates the structure of Morava K-theory rings for extensions of cyclic groups by good groups, providing a new theorem and examples to understand their properties in algebraic topology.

Contribution

It introduces a theorem characterizing good groups in the context of Morava K-theory rings for specific group extensions, with illustrative examples.

Findings

Theorem on good groups in Morava K-theory

Examples of group extensions under diagonal action

Insights into the structure of Morava K-theory rings

Abstract

This note provides a theorem on good groups in the sense of Hopkins-Kuhn-Ravenel and some relevant examples.