**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). He laid the foundations of combinatorial group theory,^{[1]} being the first to systematically study a group by generators and relations.

## Biography

Von Dyck was a student of Felix Klein,^{[1]} and served as chairman of the commission publishing Klein's encyclopedia. Von Dyck was also the editor of Kepler's works. He promoted technological education as rector of the Technische Hochschule of Munich.^{[2]} He was a Plenary Speaker of the ICM in 1908 at Rome.^{[3]}

Von Dyck is the son of the Bavarian painter Hermann Dyck.

## Legacy

The Dyck language in formal language theory is named after him,^{[4]} as are Dyck's theorem and Dyck's surface in the theory of surfaces, together with the von Dyck groups, the Dyck tessellations, Dyck paths, and the Dyck graph.

## Publications

- von Dyck, Walther (1882), "Gruppentheoretische Studien (Group-theoretical Studies)",
*Mathematische Annalen*(in German),**20**(1): 1–44, doi:10.1007/BF01443322, hdl:2027/njp.32101075301422, ISSN 0025-5831.

## Notes

- ^
^{a}^{b}Stillwell, John (2002),*Mathematics and its history*, Springer, p. 374, ISBN 978-0-387-95336-6 **^**Rowe, David E. (November 2008). "Review of Walther von Dyck (1856–1934). Mathematik, Technik und Wissenschaftsorganisation an der TH München".*Historia Mathematica*.**35**(4): 333–334. doi:10.1016/j.hm.2008.08.002.**^**Dyck, W. von (1909). "Die Encyklopädie der mathematischen Wissenschaften". In G. Castelnuovo (ed.).*Atti del IV Congresso Internazionale dei Matematici (Roma, 6–11 Aprile 1908)*. vol. 1. pp. 123–134.**^**Udacity CS262

## References

- 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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