The lower rank of direct products of hereditarily just infinite groups

TL;DR

This paper calculates the lower rank of direct products of certain complex infinite groups, providing insights into their structural properties and how they combine.

Contribution

It determines the lower rank of direct products of hereditarily just infinite profinite groups, a specific structural invariant.

Findings

Lower rank of direct products is explicitly determined.

Results apply to finitely many hereditarily just infinite groups.

Provides a foundation for understanding the structure of complex profinite groups.

Abstract

We determine the lower rank of the direct product of finitely many hereditarily just infinite profinite groups of finite lower rank.