Degree Two Generalized Iteration of q-Additive Polynomials

Paul A. Loomis

A chapter in Algebra, Arithmetic and Geometry with Applications, 2004, pp 601-608 from Springer

Abstract: Abstract We begin with a generic q-additive polynomial E(Y) of degree q m. Given a monic polynomial S(T) of degree n, we introduce the ‘generalized iterate’ E S(Y) of E(Y). Using only some factoring and valuation theory, we prove that for m = n = 2, Gal(E S , F q (X 1, X 2)) = GL (2, q 2).

Keywords: Galois Group; Galois Theory; Irreducible Element; Discrete Valuation Ring; Generalize Iteration (search for similar items in EconPapers)
Date: 2004
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-18487-1_34

Ordering information: This item can be ordered from
http://www.springer.com/9783642184871

DOI: 10.1007/978-3-642-18487-1_34

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().