학술저널
A NOTE ON CYCLOTOMIC UNITS IN FUNCTION FIELDS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 20, No. 4
-
2007.12433 - 438 (6 pages)
- 0
Let A = Fq[T] and k = Fq(T). Assume q is odd, and ¯xa prime divisor ` of q ¡1. Let P be a monic irreducible polynomial in A whose degree d is divisible by `. In this paper we de¯ne a subgroup e CF of O¤F which is generated by F¤q and f´¿i: 0 · i ·` ¡ 1g in F = k( `pP) and calculate the unit-index [O¤F : e CF ] =``¡2h(OF ). This is a generalization of [3, Theorem 16.15].
1. Introduction and statement of result
2. Proof of Theorem 1.1
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