Original title: Why quintic polynomial equations are not solvable in radicals
Authors: Křížek, Michal ; Somer, L.
Document type: Papers
Conference/Event: Applications of Mathematics 2015, Prague (CZ), 2015-11-18 / 2015-11-21
Year: 2015
Language: eng
Abstract: We illustrate the main idea of Galois theory, by which roots of a polynomial equation of at least fifth degree with rational coefficients cannot general be expressed bz radicals, i.e., by the operations +, -, ., :, and .... Therefore, higher order polynomial equations are usually solved by approximate methods. They can also be solved algebraically by means of ultraradicals.
Keywords: finite group; Galois theory; permutation
Host item entry: Applications of Mathematics 2015, ISBN 978-80-85823-65-3

Institution: Institute of Mathematics AS ČR (web)
Document availability information: Fulltext is available in the digital repository of the Academy of Sciences.
Original record: http://hdl.handle.net/11104/0252007

Permalink: http://www.nusl.cz/ntk/nusl-201024


The record appears in these collections:
Research > Institutes ASCR > Institute of Mathematics
Conference materials > Papers