Bensebaa, Boualem and Movahhedi, Abbas and Salinier, Alain (2021) WILD RAMIFICATION in TRINOMIAL EXTENSIONS and GALOIS GROUPS. Glasgow Mathematical Journal, 63 (1). pp. 106-120. ISSN 1469509X
Abstract
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 â� p leads to either the alternating group or the full symmetric group as Galois group of any irreducible trinomial Xp + aXs + b of prime degree p.
| Item Type: | Article |
|---|---|
| Identification Number: | 10.1017/S001708952000004X |
| Uncontrolled Keywords: | 2010 Mathematics Subject Classification 11R32 12F10 11S15 12E10 |
| Depositing User: | Unnamed user with username ismiatun |
| Date Deposited: | 11 Jun 2024 03:11 |
| Last Modified: | 11 Jun 2024 03:11 |
| URI: | http://repository.ub.ac.id/id/eprint/220832 |
![[thumbnail of WILD_RAMIFICATION_IN_TRINOMIAL_EXTENSIONS_AND_GALOIS_GROUPS.pdf]](http://repository.ub.ac.id/style/images/fileicons/text.png) |
Text
WILD_RAMIFICATION_IN_TRINOMIAL_EXTENSIONS_AND_GALOIS_GROUPS.pdf Download (475kB) |
Actions (login required)
 |
View Item |