Completeness criteria for modular cohomology rings of non prime power groups

TL;DR

This paper introduces a new criterion to determine the completeness of ring approximations for modular cohomology rings of finite groups that are not prime powers, enhancing computational methods in algebra.

Contribution

The paper presents a novel criterion for assessing the completeness of ring approximations in modular cohomology of non prime power groups, improving computational accuracy.

Findings

The criterion effectively evaluates the completeness of ring approximations.

Comparison shows improved performance over existing criteria.

Practical computations demonstrate the criterion's utility.

Abstract

We introduce a criterion for the completeness of ring approximations of modular cohomology rings of finite non prime power groups, and discuss how this criterion performs in practical computations, compared with other criteria.