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WILD RAMIFICATION IN TRINOMIAL EXTENSIONS AND GALOIS GROUPS
Glasgow Mathematical Journal ( IF 0.5 ) Pub Date : 2020-03-12 , DOI: 10.1017/s001708952000004x BOUALEM BENSEBAA , ABBAS MOVAHHEDI , ALAIN SALINIER
Glasgow Mathematical Journal ( IF 0.5 ) Pub Date : 2020-03-12 , DOI: 10.1017/s001708952000004x BOUALEM BENSEBAA , ABBAS MOVAHHEDI , ALAIN SALINIER
It is proven that, for a wide range of integers s (2 < s < p − 2), the existence of a single wildly ramified odd prime l ≠ p leads to either the alternating group or the full symmetric group as Galois group of any irreducible trinomial X p + aX s + b of prime degree p .
中文翻译:
三项式扩展和伽罗瓦群中的狂野衍生
证明了,对于大范围的整数s (2 <s <p − 2),存在一个单一的广泛分支的奇素数l ≠p 导致交替群或完全对称群作为任何不可约三项式的伽罗瓦群X p +斧头 s +b 最高学历p .
更新日期:2020-03-12
中文翻译:
三项式扩展和伽罗瓦群中的狂野衍生
证明了,对于大范围的整数