Helmut Wielandt (19 December 1910 – 14 February 2001) was a German mathematician who worked on permutation groups.
He was born in Niedereggenen, Lörrach, Germany. He gave a plenary lecture Entwicklungslinien in der Strukturtheorie der endlichen Gruppen (Lines of Development in the Structure Theory of Finite Groups) at the International Congress of Mathematicians (ICM) in 1958 at Edinburgh[1] and was an Invited Speaker with talk Bedingungen für die Konjugiertheit von Untergruppen endlicher Gruppen (Conditions for the Conjugacy of Finite Groups) at the ICM in 1962 in Stockholm.[2]
Among his work in Algebra is an elegant proof of the Sylow Theorems (replacing an older cumbersome proof involving double cosets) that is in the standard textbooks on Abstract Algebra, i.e. Group Theory.
See also
editPublications
edit- Wielandt, Helmut (1964), Finite permutation groups, Boston, MA: Academic Press, MR 0183775 (translated by Ronald D. Bercov)[3]
- Wielandt, Helmut (10 May 2014). 2014 pbk reprint. Academic Press. ISBN 9781483258294.
- Topics in the analytic theory of matrices: Lecture notes prepared by Robert R. Meyer from a course by Helmut Wielandt, Department of Mathematics, University of Wisconsin at Madison, 1967, ASIN B0007EOBYU; 129 pages, pbk
{{citation}}: CS1 maint: postscript (link) - Wielandt, Helmut (1994), Huppert, Bertram; Schneider, Hans (eds.), Mathematische Werke/Mathematical works. Vol. 1. Group theory, Berlin: Walter de Gruyter & Co., ISBN 978-3-11-012452-1, MR 1272467
- Wielandt, Helmut (1996), Huppert, Bertram; Schneider, Hans (eds.), Mathematische Werke/Mathematical works. Vol. 2. Linear algebra and analysis, Berlin: Walter de Gruyter & Co., ISBN 978-3-11-012453-8, MR 1430098
References
edit- ↑ Wielandt, H. "Entwicklungslinien in der Strukturtheorie der endlichen Gruppen." Archived 2013-12-28 at the Wayback Machine In Proc. Intern. Congress Math., Edinburgh, pp. 268-278. 1958.
- ↑ "International Congress of Mathematicians | Programme" (PDF). International Mathematical Union. 1962. Retrieved 26 July 2025.
- ↑ Britton, John L. (June 1967). "Book Review: Permutation Groups by Helmut Wielandt, translated by R. Bercov". Proceedings of the Edinburgh Mathematical Society. 15 (3): 246. doi:10.1017/S0013091500011822.
- Deutsch, E.; Hadeler, K. P.; Laffey, Thomas J. (1985), "Helmut Wielandt", Linear Algebra and Its Applications, 71: 1–8, doi:10.1016/0024-3795(85)90228-9, ISSN 0024-3795, MR 0813026
- Huppert, Bertram (2001), "Nachruf auf Professor Dr. Dr. hc. Helmut Wielandt", Jahresbericht der Deutschen Mathematiker-Vereinigung, 103 (3): 74–78, ISSN 0012-0456
- O'Connor, John J.; Robertson, Edmund F., "Helmut Wielandt", MacTutor History of Mathematics Archive, University of St Andrews