국가지식-학술정보
A REMARK ON THE NUMBER OF FROBENIUS CLASSES GENERATING THE GALOIS GROUP OF THE MAXIMAL UNRAMIFIED EXTENSION
A REMARK ON THE NUMBER OF FROBENIUS CLASSES GENERATING THE GALOIS GROUP OF THE MAXIMAL UNRAMIFIED EXTENSION
- 호남수학회
- Honam Mathematical Journal
- Vol.42 No.2
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2020.01213 - 218 (6 pages)
- 0
커버이미지 없음
Assume that K is a number field and K<sub>ur</sub> is the maximal unramified extension of it. When Gal(K<sub>ur</sub>/K) is an infinite group. It is known that Gal(K<sub>ur</sub>/K) is generated by finitely many Frobenius classes of Gal(K<sub>ur</sub>/K) by Y. Ihara. In this paper, we will give the explicit number of Frobenius classes which generate whole group Gal(K<sub>ur</sub>/K).
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