A brief account of Klein’s icosahedral extensions

We present an alternative relatively easy way to understand and determine the zeros of a quintic polynomial whose Galois group is isomorphic to the group of rotational symmetries of a regular icosahedron. The extensive algebraic procedures of Klein in his famous Vorlesungen über das Ikosaeder und di...

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Veröffentlicht in:	Indagationes mathematicae Jg. 33; H. 2; S. 482 - 493
Hauptverfasser:	Solanilla, Leonardo, Barreto, Erick S., Morales, Viviana
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Amsterdam Elsevier B.V 01.03.2022 Elsevier Science Ltd
Schlagworte:	Algebra Group theory Hypergeometric functions Icosahedrons Mathematical analysis Polynomials Polynomials in real and complex fields, Location of zeros (algebraic theorems) Real polynomials, Location of zeros Zeros of polynomials, rational functions, and other analytic functions of one complex variable Real polynomials, Location of zeros Zeros of polynomials, rational functions, and other analytic functions of one complex variable Polynomials in real and complex fields, Location of zeros (algebraic theorems)
ISSN:	0019-3577, 1872-6100
Online-Zugang:	Volltext
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