Hans Fitting
was a mathematician who worked in group theory

Group theory

In mathematics and abstract algebra, group theory studies the algebraic structures known as groups.The concept of a group is central to abstract algebra: other well-known algebraic structures, such as rings, fields, and vector spaces can all be seen as groups endowed with additional operations and...

. He proved Fitting's theorem

Fitting's theorem

Fitting's theorem is a mathematical theorem proved by Hans Fitting. It can be stated as follows:By induction it follows also that the subgroup generated by a finite collection of nilpotent normal subgroups is nilpotent. This can be used to show that the Fitting subgroup of certain types of groups ...

 and Fitting's lemma, and defined the Fitting subgroup

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 smallest subgroup which "controls" the structure of G when G is solvable...

in finite group theory and the Fitting decomposition for Lie algebra

Lie algebra

In mathematics, a Lie algebra is an algebraic structure whose main use is in studying geometric objects such as Lie groups and differentiable manifolds. Lie algebras were introduced to study the concept of infinitesimal transformations. The term "Lie algebra" was introduced by Hermann Weyl in the...

s and Fitting ideal

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...

s in ring theory.

After finishing his undergraduate work in 1931, he wrote his dissertation with the help of Emmy Noether

Emmy Noether

Amalie Emmy Noether was an influential German mathematician known for her groundbreaking contributions to abstract algebra and theoretical physics. Described by David Hilbert, Albert Einstein and others as the most important woman in the history of mathematics, she revolutionized the theories of...

, who helped him secure a grant

Grant (money)

Grants are funds disbursed by one party , often a Government Department, Corporation, Foundation or Trust, to a recipient, often a nonprofit entity, educational institution, business or an individual. In order to receive a grant, some form of "Grant Writing" often referred to as either a proposal...

from the Notgemeinschaft der Deutschen Wissenschaften (Emergency Society for German Sciences). He died at the age of 31 from a sudden bone disease.

External links

• Biography (in German)