Algebraic Patching

• Main Author: Jarden, Moshe (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011.
• Series: Springer Monographs in Mathematics,
• Subjects: Mathematics.; Algebra.; Field theory (Physics).; Group theory.; Field Theory and Polynomials.; Group Theory and Generalizations.

Assuming only basic algebra and Galois theory, the book develops the method of "algebraic patching" to realize finite groups and, more generally, to solve finite split embedding problems over fields. The method succeeds over rational function fields of one variable over "ample fields&...