SOME PRIMITIVE IDEMPOTENTS IN R16p

ABSTRACT

Let F be a finite field of prime power order q , where q is of the
form 16 k +5 . If q is primitive root modulo pn , then the semisimple
group algebra FG of the cyclic group G of order 16 pn
over F , where p is an odd prime and n greater than equal to 1 , has 16 n +7
primitive idempotents. Explicit expressions for these primitive
idempotents are obtained.