Stickelberger Subideals for a Prime Modulus Related to Kummer-Type Congruences Original Research Article

Letpgreater-or-equal, slanted5 be a prime,Γa set of certain positive integers, andGa cyclic group of orderp−1. In this paper we mainly investigate the special subideal imageΓ(p) (depending onΓ) of the Stickelberger ideal image(p) in the group ringRp=imagep[G] (where imagep=image/pimage) and find various kinds of bases of imageΓ(p) regarding as a vector space over imagepwhich are intimately connected with the Kummer type system of congruences.