Central Schur rings over the projective special linear groups

ABSTRACT

In [1], Bannai presents a fusion condition and uses this to consider central Schur rings (S-rings) over the simple groups PSL(2,q) where q is a prime power. In this paper, we concretely describe all such S-rings in terms of symmetric S-rings over cyclic groups. The final section discusses counting these.

KEYWORDS:

• Association schemes
• character table
• projective special linear groups
• Schur rings

AMS CLASSIFICATION:

• 05E30
• 05E15
• 20C05