Hans Fitting (13 November 1906 in München-Gladbach (now

Mönchengladbach Mönchengladbach (, li, Jlabbach ) is a city in North Rhine-Westphalia, Germany. It is located west of the Rhine, halfway between Düsseldorf and the Dutch border. Geography Municipal subdivisions Since 2009, the territory of Mönchengladbac ...

) – 15 June 1938 in

Königsberg Königsberg (, ) was the historic Prussian city that is now Kaliningrad, Russia. Königsberg was founded in 1255 on the site of the ancient Old Prussian settlement ''Twangste'' by the Teutonic Knights during the Northern Crusades, and was named ...

(now

Kaliningrad Kaliningrad ( ; rus, Калининград, p=kəlʲɪnʲɪnˈɡrat, links=y), until 1946 known as Königsberg (; rus, Кёнигсберг, Kyonigsberg, ˈkʲɵnʲɪɡzbɛrk; rus, Короле́вец, Korolevets), is the largest city and ...

)) was a mathematician who worked in

group theory In abstract algebra, group theory studies the algebraic structures known as group (mathematics), groups. The concept of a group is central to abstract algebra: other well-known algebraic structures, such as ring (mathematics), rings, field ...

. He proved

Fitting's theorem Fitting's theorem is a mathematical theorem proved by Hans Fitting. It can be stated as follows: :If ''M'' and ''N'' are nilpotent normal subgroups of a group ''G'', then their product ''MN'' is also a nilpotent normal subgroup of ''G''; if, mor ...

and

Fitting's lemma The Fitting lemma, named after the mathematician Hans Fitting, is a basic statement in abstract algebra. Suppose ''M'' is a module over some ring. If ''M'' is indecomposable and has finite length, then every endomorphism of ''M'' is either an au ...

, and defined the

Fitting subgroup In mathematics, especially in the area of algebra known as group theory, the Fitting subgroup ''F'' of a finite group ''G'', named after Hans Fitting, is the unique largest normal nilpotent subgroup of ''G''. Intuitively, it represents the smalles ...

finite group theory Finite is the opposite of infinite. It may refer to: * Finite number (disambiguation) * Finite set, a set whose cardinality (number of elements) is some natural number * Finite verb, a verb form that has a subject, usually being inflected or marked ...

and the Fitting decomposition for

Lie algebra In mathematics, a Lie algebra (pronounced ) is a vector space \mathfrak g together with an Binary operation, operation called the Lie bracket, an Alternating multilinear map, alternating bilinear map \mathfrak g \times \mathfrak g \rightarrow ...

s and

Fitting ideal In commutative algebra, the Fitting ideals of a finitely generated module over a commutative ring describe the obstructions to generating the module by a given number of elements. They were introduced by . Definition If ''M'' is a finitely generat ...

s in

ring theory In algebra, ring theory is the study of rings— algebraic structures in which addition and multiplication are defined and have similar properties to those operations defined for the integers. Ring theory studies the structure of rings, their re ...

. After finishing his

undergraduate Undergraduate education is education conducted after secondary education and before postgraduate education. It typically includes all postsecondary programs up to the level of a bachelor's degree. For example, in the United States, an entry-lev ...

work in 1931, he wrote his dissertation with the help of

Emmy Noether Amalie Emmy NoetherEmmy is the ''Rufname'', the second of two official given names, intended for daily use. Cf. for example the résumé submitted by Noether to Erlangen University in 1907 (Erlangen University archive, ''Promotionsakt Emmy Noethe ...

, who helped him secure a

grant Grant or Grants may refer to: Places *Grant County (disambiguation) Australia * Grant, Queensland, a locality in the Barcaldine Region, Queensland, Australia United Kingdom *Castle Grant United States * Grant, Alabama *Grant, Inyo County, C ...

from the ''Notgemeinschaft der Deutschen Wissenschaften'' (Emergency Society for German Sciences). He died at the age of 31 from a sudden bone disease. Dick, Auguste. ''Emmy Noether: 1882–1935''. Trans. H. I. Blocher. Boston: Birkhäuser, 1981. . pp. 54–55.

References

External links

*
Biography
(in German) 1906 births 1938 deaths 20th-century German mathematicians Group theorists People from the Rhine Province {{Germany-mathematician-stub