Otto Holder

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Otto Holder

Otto Ludwig Hölder (born December 22, 1859 in Stuttgart , † August 29, 1937 in Leipzig ) was a German mathematician .

Life

Otto Hölder grave in the south cemetery in Leipzig

Hölder first studied engineering at the Stuttgart Polytechnic and from 1877 at the University of Berlin , where he switched to mathematics and studied with Leopold Kronecker , Karl Weierstrass and Ernst Eduard Kummer . In 1882 he received his doctorate at the University of Tübingen (where he became a member of the Normannia Association ) with Paul Du Bois-Reymond . He then went to the University of Leipzig and then in 1884 became a private lecturer in Göttingen . After a nervous breakdown in 1889 he recovered and was able to accept a call to Tübingen , where he also received a professorship in 1890. This was followed by appointments from 1896–1899 to the University of Königsberg and from 1899–1927 to the University of Leipzig. In 1918 he was rector of the university there. Since 1899 he was a full member of the Saxon Academy of Sciences .

In 1918 he was President of the German Mathematicians Association . In November 1933 he signed the professors' declaration of Adolf Hitler at German universities and colleges .

He is the father of the mathematician Ernst Hölder .

research

Hölder is the discoverer and namesake of the Hölder inequality (1884), the Hölder continuity (a generalization of the Lipschitz continuity ), which is important in the theory of partial differential equations , as well as the Hölder space . Hölder also made fundamental contributions to group theory , particularly with his composition series of a group (a series of groups of factors, each of which is simple groups), which arose from his study of Galois theory of equations. He proved the uniqueness of the factor groups in the composition series ( Jordan-Hölder theorem ). The concept of the factor group itself was also clearly formulated by Hölder as one of the first in 1889. He is also at the beginning of the classification program of the finite simple groups , which he determined in a paper from 1892 up to order 200 (using the Sylow theorems ). He investigated further special classes of finite groups and automorphisms and extensions of groups.

Fonts

literature

Web links

Wikisource: Otto Hölder  - Sources and full texts

Remarks

  1. ↑ also by Camille Jordan , Bulletin Societe Math. France 1873
personal data
SURNAME Holder, Otto
ALTERNATIVE NAMES Holder, Otto Ludwig
BRIEF DESCRIPTION German mathematician
DATE OF BIRTH December 22, 1859
PLACE OF BIRTH Stuttgart
DATE OF DEATH August 29, 1937
Place of death Leipzig