A note on torsion Breuil modules in the case er=p-1

TL;DR

This paper proves that the category of unipotent torsion Breuil modules forms an abelian category when the parameters satisfy er=p-1 and r<p-1, contributing to the understanding of their algebraic structure.

Contribution

It establishes the abelian category structure of unipotent torsion Breuil modules under specific parameter conditions, a new result in the field.

Findings

The category of unipotent torsion Breuil modules is abelian under er=p-1 and r<p-1.

Provides foundational understanding for further algebraic and number theoretic applications.

Clarifies the structure of Breuil modules in the torsion case.

Abstract

In this note, we prove that the category of unipotent torsion Breuil modules is an abelian category, under the condition $er=p-1, r<p-1.$