Small interactions in groups Sp(4)(q) for even q

Abstract

The investigation of nonclassical interactions (orthogonality relations) in finite groups is continued. A description of all small interactions (small D-blocks and small Φ-blocks) in symplectic groups Sp4(q) for even q is obtained. In particular, two known conjectures on these interactions are confirmed for these groups. Note that the existence of a small D-block in a group is equivalent to the existence of a pair of semiproportional rows in its character table and the existence of a small Φ-block in a group is equivalent to the existence of a pair of semiproportional columns in its character table. © 2012 Pleiades Publishing, Ltd.