On the splitting of a normalizer of a torus in symplectic groups

TL;DR

This paper classifies symplectic groups and their maximal tori where the normalizer of a torus splits over the torus, providing a comprehensive understanding of their structural properties.

Contribution

It identifies all symplectic groups and maximal tori with split normalizers, advancing the structural theory of symplectic groups and their tori.

Findings

Classification of symplectic groups with split normalizers

Identification of maximal tori with split normalizers

Structural insights into symplectic group tori

Abstract

In this paper we find all symplectic groups and their maximal tori in which normalizer of a torus is split over the torus.