Geometric invariants for $p$-groups of class 2 and exponent $p$

TL;DR

This paper introduces geometric invariants tailored for p-groups of class 2 and exponent p, demonstrating their effectiveness in differentiating among specific groups with five generators.

Contribution

The paper presents new geometric invariants for p-groups of class 2 and exponent p, enhancing the ability to distinguish between such groups.

Findings

Invariants effectively differentiate 5-generator p-groups of class 2 and exponent p.

Demonstrated the practical utility of invariants in group classification.

Provided a new tool for analyzing the structure of specific p-groups.

Abstract

We introduce geometric invariants for $p$-groups of class $2$ and exponent $p$. We report on their effectiveness in distinguishing among 5-generator $p$-groups of this type.