Fields

Shreeram S. Abhyankar, Harald Niederreiter, Joseph J. Rotman, Andy R. Magid, A. V. Mikhalev, E. V. Pankratiev, T. Y. Lam, Franz Binder and Rudi Lidl
Additional contact information
Shreeram S. Abhyankar: Lafayette

Chapter Chapter D in The Concise Handbook of Algebra, 2002, pp 355-381 from Springer

Abstract: Abstract After the initial impetus given to it by Dedekind and Weber (1882), the theory of field extensions was first systemized by Steinitz (1910). Chevalley (1951) is, in effect, an updated version of the Dedekind-Weber paper. Ultimately, traveling through the edifice of algebraic geometry, it acquired the form presented in Zariski and Samuel (1975). Indeed, it is not easy to decipher where the theory of field extensions ends and algebraic geometry begins. Its ubiquitous use in algebraic geometry can be seen in Abhyankar’s resolution of singularities book (Abhyankar 1998) and in the more heuristic introduction to it in his engineering book (Abhyankar 1990). The intimate relationship of field extensions to group theory is expounded in his recent survey article (Abhyankar 2001).

Keywords: Galois Group; Field Extension; Galois Theory; Hadamard Matrice; Discrete Logarithm Problem (search for similar items in EconPapers)
Date: 2002
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:978-94-017-3267-3_4

Ordering information: This item can be ordered from
http://www.springer.com/9789401732673

DOI: 10.1007/978-94-017-3267-3_4

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 ().