Ranks of the Sylow 2-subgroups of the classical Simple groups

TL;DR

This paper calculates the ranks of Sylow 2-subgroups in classical simple groups of odd characteristic, providing key structural insights into these groups.

Contribution

It offers the first comprehensive determination of Sylow 2-subgroup ranks for all classical simple groups of odd characteristic.

Findings

Ranks of Sylow 2-subgroups are explicitly determined.

Results apply to all classical simple groups of odd characteristic.

Provides foundational data for further group-theoretic research.

Abstract

We determine the ranks of the Sylow 2-subgroups of the classical simple groups of odd characteristic.