Computing topological zeta functions of groups, algebras, and modules, II

TL;DR

This paper introduces a practical algorithm for computing topological zeta functions of nilpotent groups, algebras, and modules, extending previous methods by removing non-degeneracy restrictions.

Contribution

It develops the first practical algorithm for these computations, overcoming previous limitations related to non-degeneracy assumptions.

Findings

Successfully computes topological zeta functions for a broader class of structures.

Extends the applicability of previous algorithms to more complex cases.

Provides a foundation for further computational and theoretical research in this area.

Abstract

Building on our previous work (arXiv:1405.5711), we develop the first practical algorithm for computing topological zeta functions of nilpotent groups, non-associative algebras, and modules. While we previously depended upon non-degeneracy assumptions, the theory developed here allows us to overcome these restrictions in various interesting cases.