Overgroups of Root Groups in Classical Groups

Introduction 3-transpositions
The $(V,f)$-setup
Direct sum decompositions
Subfield structures
Modules for alternating groups
Modules with $p=2$
The orthogonal space $\mathbf{F}_2^n$
Overgroups of long root subgroups
Maximal overgroups of long root subgroups
Subgroups containing long root elements
Overgroups of short root subgroups
Short root subgroups in symplectic groups of characteristic 2
Overgroups of subgroups in $\mathbf{R}_c$ in III
Overgroups of subgroups in $\mathbf{R}_c$ in III when $q>3$
A special case for $q=3$ in III
Overgroups of subgroups in $\mathbf{R}_c$ in III when $q=3$
A result of Stellmacher More case III with $q=3$
The proof of Theorem 1
A characterization of alternating groups
Orthogonal groups with $q=2$
The proof of Theorem 2
Symplectic and unitary groups
Symplectic and unitary groups with $q$ odd
The proof of Theorem 3
Unitary groups with $q$ even
The proofs of Theorems A and B
References