Modular group algebras whose group of unitary units is locally nilpotent

TL;DR

This paper characterizes modular group algebras over a field where the group of unitary units forms a locally nilpotent group, providing insights into their algebraic structure.

Contribution

It offers a complete characterization of modular group algebras with locally nilpotent unitary groups under the classical involution.

Findings

Identifies conditions for the unitary group to be locally nilpotent

Provides structural criteria for modular group algebras

Enhances understanding of algebraic properties related to unitary units

Abstract

We characterize those modular group algebras FG whose group of unitary units is locally nilpotent under the classical involution of FG.