The spectra of almost simple groups with socle $E_7(q)$

TL;DR

This paper explicitly describes the set of element orders for all almost simple groups with socle $E_7(q)$, providing detailed spectral information for these groups.

Contribution

It offers a comprehensive and explicit characterization of element orders in almost simple groups with socle $E_7(q)$, advancing understanding of their structure.

Findings

Complete description of element orders for these groups

Identification of spectral patterns specific to $E_7(q)$ groups

Facilitation of classification and comparison of related groups

Abstract

We give an explicit description of the set of element orders for every almost simple group with socle $E_7(q)$.