论文信息 - The Primitive Idempotents of a Cyclic Group Algebra

The Primitive Idempotents of a Cyclic Group Algebra

Explicit expressions are obtained for the 2n + 1 primitive idempotents in FG, the semisimple group algebra of the cyclic group G of order pn (p an odd prime, n ≥ 1) over the finite field F of prime power order q, when q has order φ(pn)/2 modulo pn.

Stephen D. Cohen | Sudhir Batra | S. K. Arora | Manju Pruthi

[1] S. K. Arora,et al. Minimal quadratic residue cyclic codes of length 2n , 2005 .

[2] Manju Pruthi,et al. Minimal Codes of Prime-Power Length , 1997 .

[3] S. Berman. Semisimple cyclic and Abelian codes. II , 1967 .

[4] Manju Pruthi,et al. Minimal Cyclic Codes of Length 2pn , 1999 .

[5] David Burton. Elementary Number Theory , 1976 .