In mathematics, the Fitting lemma – named after the mathematician Hans Fitting – is a basic statement in abstract algebra. Suppose M is a module over some...

Abhyankar's lemma Aubin–Lions lemma Bergman's diamond lemma Fitting lemma Injective test lemma Hua's lemma (exponential sums) Krull's separation lemma Schanuel's...

group theory. He proved Fitting's theorem and Fitting's lemma, and defined the Fitting subgroup in finite group theory and the Fitting decomposition for Lie...

under an extension of a module by a simple module. For example, the Fitting lemma shows that the endomorphism ring of a finite length indecomposable module...

(algebra) Fitting lemma Schur's lemma Nakayama's lemma Krull–Schmidt theorem Steinitz exchange lemma Jordan–Hölder theorem Artin–Rees lemma Schanuel's lemma Morita...

about endomorphisms of finite-length indecomposables is provided by the Fitting lemma. In the finite-length situation, decomposition into indecomposables...

In mathematics, Hensel's lemma, also known as Hensel's lifting lemma, named after Kurt Hensel, is a result in modular arithmetic, stating that if a univariate...

for his work in group theory, particularly Fitting's theorem and the Fitting lemma. He died at the age of 31 from a bone disease. Witt was initially supervised...

\operatorname {tr} (\pi (e_{i})\pi (e^{i}))=\dim {\mathfrak {g}}_{1}.} Now, by Fitting's lemma, we have the vector space decomposition V = V 0 ⊕ V 1 {\displaystyle...

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...