ABSTRACT
We investigate the character values and structures of p-standard table algebras (A,B) with o(B) = pN. If N≤3, then B has a complete normal series. If for every χ∈Irr(B), χ has at most p distinct classes of character values, and if either B has a complete normal series or p = 2, then B is an elementary abelian p-group.
Acknowledgment
This work was done during the visit of Chen at Northern Illinois University from February to August 2016. He appreciates the hospitality of Professor Blau and the Department of Mathematical Sciences of Northern Illinois University.