Brauer pairs of Camina p-groups of nilpotence class 2

TL;DR

This paper characterizes when two Camina p-groups of nilpotence class 2 form a Brauer pair, providing a specific condition for their relationship.

Contribution

It introduces a new condition that precisely determines when two such groups form a Brauer pair, advancing understanding of their structure.

Findings

Established a characterization criterion for Brauer pairs of Camina p-groups

Identified structural properties relevant to Brauer pairing

Enhanced classification methods for p-groups of nilpotence class 2

Abstract

In this paper, we find a condition that characterizes when two Camina $p$-groups of nilpotence class 2 form a Brauer pair.