On the B-injectors of groups with components of small rank

摘要

This paper is part of a larger programme investigating the B-injectors in arbitrary groups, more precisely, investigating in which groups the B-injectors are conjugate. To answer this question it is critical to have information on the intersection of the B-injectors with the components of the group. Here we are dealing with components having a factor group isomorphic to G(2(q)), D-3(4)(q), S-z(q), or R(q). As it is usually quite easy to determine the intersections of B-injeetors with components corresponding to Chevally groups of large rank, the groups above among others turn out to be critical in answering the question whether B-injectors are conjugate.