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Non-Abelian extensions of degree p3 and p4 in characteristic p > 2.

Authors :
Moles, Grant
Source :
Finite Fields & Their Applications. Jun2024, Vol. 96, pN.PAG-N.PAG. 1p.
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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10715797
Volume :
96
Database :
Academic Search Index
Journal :
Finite Fields & Their Applications
Publication Type :
Academic Journal
Accession number :
176785478
Full Text :
https://doi.org/10.1016/j.ffa.2024.102399