Article ID: CBB746243101

Felix Klein’s projective representations of the groups S6 and A7 (2022)

unapi

This paper addresses an article by Felix Klein of 1886, in which he generalized his theory of polynomial equations of degree 5—comprehensively discussed in his Lectures on the Icosahedron two years earlier—to equations of degree 6 and 7. To do so, Klein used results previously established in line geometry. I review Klein’s 1886 article, its diverse mathematical background, and its place within the broader history of mathematics. I argue that the program advanced by this article, although historically overlooked due to its eventual failure, offers a valuable insight into a time of crucial evolution of the subject.

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Authors & Contributors
Ausejo Martínez, Elena
Cogliati, Alberto
Deng, Mingli
Galuzzi, Massimo
Glas, Eduard
Kaplan, Pierre
Journals
Archive for History of Exact Sciences
Historia Mathematica
Bollettino di Storia delle Scienze Matematiche
Centaurus: International Magazine of the History of Mathematics, Science, and Technology
Circumscribere: International Journal for the History of Science
Historia Scientiarum: International Journal of the History of Science Society of Japan
Publishers
Guaraldi
Concepts
Mathematics
Equations and formulae
Geometry
Correspondence and corresponding
Group theory
Methodology
People
Klein, Felix
Engel, Friedrich
Lie, Marius Sophus
Poincaré, Jules Henri
Cantor, Georg Ferdinand Ludwig
Cantor, Moritz Benedikt
Time Periods
19th century
20th century, early
18th century
17th century
20th century
Places
China
Europe
Germany
Japan
Russia
Prussia (Germany)
Institutions
Universität Göttingen
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