On the unitary subgroup of modular group algebras

TL;DR

This paper explores the structure of the group of c3-unitary units in certain noncommutative modular group algebras, focusing on the effects of a non-classical ring involution.

Contribution

It provides new insights into the structure of c3-unitary units under non-classical involutions in modular group algebras.

Findings

Characterization of c3-unitary units in specific cases

Identification of structural properties influenced by non-classical involutions

Extension of known results to noncommutative modular group algebras

Abstract

It this note we investigate the structure of the group of \sigma-unitary units in some noncommutative modular group algebras KG, where \sigma is a non-classical ring involution of KG.