On Oliver's $p$-group conjecture for Sylow subgroups of unitary groups

TL;DR

This paper proves Oliver's $p$-group conjecture for Sylow $p$-subgroups of unitary groups using elementary methods, advancing understanding of the conjecture in specific group classes.

Contribution

The paper provides a new elementary proof confirming Oliver's $p$-group conjecture for Sylow subgroups of unitary groups.

Findings

Oliver's $p$-group conjecture holds for Sylow $p$-subgroups of unitary groups

Elementary methods are effective in proving the conjecture in this case

The result extends the class of groups for which the conjecture is verified

Abstract

In this paper, we focus on Oliver's $p$-group conjecture. We use elementary method to prove that Oliver's $p$-group conjecture holds for Sylow $p$-subgroups of unitary groups.