On the ranks of string C-group representations for symplectic and orthogonal groups

TL;DR

This paper determines the possible ranks of string C-group representations for certain symplectic and orthogonal groups, specifically focusing on PSp(4, F_q) and discussing higher dimensions.

Contribution

It explicitly computes the ranks of string C-group representations for PSp(4, F_q) and provides insights into higher-dimensional cases, advancing understanding of these groups' symmetries.

Findings

Ranks of string C-group representations for PSp(4, F_q) are determined.

Comments on the ranks for higher-dimensional symplectic and orthogonal groups.

Provides foundational results for symmetry analysis in these groups.

Abstract

We determine the ranks of string C-group representations of the groups ${\rm PSp}(4,\mathbb{F}_q)\cong\Omega(5,\mathbb{F}_q)$, and comment on those of higher-dimensional symplectic and orthogonal groups.