Odd-dimensional orthogonal groups as amalgams of unitary groups.Part 2: Machine computations

In the first part [C. Bennett, R. Gramlich, C. Hoffman, S. Shpectorov, Odd-dimensional orthogonal groups as amalgams of unitary groups. Part 1: General simple connectedness, J. Algebra 312 (2007) 426-444], a characterization of central quotients of the group Spin(2n + 1, q) is given for n >= 3 and all odd prime powers q, with the exception of the cases n = 3, q is an element of {3, 5, 7, 9). The present article treats these cases computationally, thus completing the Phan-type theorem for the group Spin(2n + 1, q). (c) 2007 Elsevier Inc. All rights reserved.