Linear groups over a skew field of quaternions containing the group T_n(A, Φ) over a subsfield

摘要

We study the subgroups of GL_n(D) (n ≥ 3) over a skew field of quaternions D that comprise the subgroup of the subgroup of the unitary group U_n(A, Φ) over a subsfield A is contained in D generated by all transvections in U_n(A, Φ).