Torsion units in integral group rings of Conway simple groups

TL;DR

This paper investigates the possible orders and partial augmentations of torsion units in the normalized unit groups of integral group rings of Conway simple groups using the Luthar--Passi method.

Contribution

It applies the Luthar--Passi method to Conway simple groups, providing new insights into torsion units in their integral group rings.

Findings

Determined possible orders of torsion units in Co_1, Co_2, Co_3

Identified constraints on partial augmentations of these units

Extended the application of the Luthar--Passi method to Conway groups

Abstract

Using the Luthar--Passi method, we investigate the possible orders and partial augmentations of torsion units of the normalized unit group of integral group rings of Conway simple groups $Co_1$, $Co_2$ and $Co_3$.