The stable homotopy groups of $2$-stage Postnikov systems

TL;DR

This paper describes the stable homotopy groups of certain 2-stage Postnikov systems, specifically those resembling generalized Eilenberg-Mac Lane spaces, providing a way to compute these groups in specific dimensions.

Contribution

It offers a new method to compute stable homotopy groups of 2-stage Postnikov systems with the homotopy type of generalized Eilenberg-Mac Lane spaces.

Findings

Stable homotopy groups characterized for specific 2-stage Postnikov systems.

Reduction of computation to stable homotopy groups of generalized Eilenberg-Mac Lane spaces.

Applicable in certain dimensional ranges.

Abstract

The purpose of this note is to give a description of the stable homotopy group of some $2$-stage Postnikov systems for a range of dimensions. The considered $2$-stage Postnikov systems has the (weak) homotopy type of a generalized Eilenberg-Mac lane space, then their stable homotopy groups can be calculated by the stable homotopy groups of generalized Eilenberg-Mac lane spaces.