✦ LIBER ✦
Stickelberger Subideals for a Prime Modulus Related to Kummer-Type Congruences
✍ Scribed by Takashi Agoh
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 361 KB
- Volume
- 67
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
✦ Synopsis
Dedicated to the Memory of Taruichi Yoshioka
Let p 5 be a prime, 1 a set of certain positive integers, and G a cyclic group of order p&1. In this paper we mainly investigate the special subideal I 1 ( p) (depending on 1) of the Stickelberger ideal I( p) in the group ring R p =Z p [G] (where Z p =ZÂpZ) and find various kinds of bases of I 1 ( p) regarding as a vector space over Z p which are intimately connected with the Kummer type system of congruences.