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Non-Abelian extensions of degree $p^3$ and $p^4$ in characteristic $p>2$
- Publication Year :
- 2024
-
Abstract
- This paper describes in terms of Artin-Schreier equations field extensions whose Galois group is isomorphic to any of the four non-cyclic groups of order $p^3$ or the ten non-Abelian groups of order $p^4$, $p$ an odd prime, over a field of characteristic $p$.<br />Comment: 15 pages, 0 figures, to be published in Finite Fields and Their Applications
- Subjects :
- Mathematics - Number Theory
11S20
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2403.02442
- Document Type :
- Working Paper