Finite presentability of normal fibre products
Conchita Mart\'inez-P\'erez
TL;DR
This paper investigates conditions under which normal fibre products in the product of two finitely presented groups are themselves finitely presented, using Bieri-Strebel invariants to establish criteria and characterizations.
Contribution
It provides new criteria and characterizations for the finite presentability of normal fibre products in finitely presented groups using Bieri-Strebel invariants.
Findings
Conditions that imply finite presentability of fibre products.
Characterizations of when such fibre products are finitely presented.
Use of Bieri-Strebel invariants to analyze group properties.
Abstract
We use Bieri-Strebel invariants to determine when a normal fibre product in the product of two finitely presented groups is finitely presented. We give conditions that imply and in some cases characterize the existence of such finitely presented fibre products.
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