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Walther Franz Anton von Dyck (6 December 1856 in Munich – 5 November 1934 in Munich), born Dyck and later ennobled, was a German mathematician. He is credited with being the first to define a mathematical group, in the modern sense in (von Dyck 1882), and laid the foundations of combinatorial group theory,[1] being the first to systematically study a group by generators and relations.[1]

The Dyck language in formal language theory is named after him, as are Dyck's theorem and Dyck's surface in the theory of surfaces, together with the von Dyck groups, the Dyck tessellations, and the Dyck graph.

Von Dyck was a student of Felix Klein,[1] and he was also the editor of Kepler's works.

(German) von Dyck, Walther (1882), "Gruppentheoretische Studien (Group-theoretical Studies)" (subscription required), Mathematische Annalen 20 (1): 1–44, doi:10.1007/BF01443322, ISSN 0025-5831.


^ a b c Stillwell, John (2002), Mathematics and its history, Springer, p. 374, ISBN 978-0-387-95336-6

Ulf Hashagen: Walther von Dyck (1856–1934). Mathematik, Technik und Wissenschaftsorganisation an der TH München, Franz Steiner Verlag, Stuttgart 2003, ISBN 3-515-08359-6

External links

O'Connor, John J.; Robertson, Edmund F., "Walther von Dyck", MacTutor History of Mathematics archive, University of St Andrews.

Walther von Dyck at the Mathematics Genealogy Project

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