Theorie der Gruppen von endlicher Ordnung

E599907

"Theorie der Gruppen von endlicher Ordnung" is a foundational mathematical monograph on finite group theory that helped shape the modern development of abstract algebra.

All labels observed (4)

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Statements (30)

Predicate Object
instanceOf book ⓘ
mathematical monograph ⓘ
work on finite group theory ⓘ
author Otto Hölder ⓘ
citedAs foundational work in finite group theory ⓘ
contributionTo development of finite group theory ⓘ
foundations of abstract algebra ⓘ
field abstract algebra ⓘ
group theory ⓘ
genre research monograph ⓘ
hasNotableConcept Hölder program for classification of finite groups ⓘ
use of composition series in group classification ⓘ
historicalSignificance early systematic exposition of finite group theory ⓘ
helped shape modern axiomatic approach to groups ⓘ
influenced 20th-century algebraists ⓘ
modern treatments of group theory ⓘ
intendedAudience advanced students of mathematics ⓘ
mathematicians ⓘ
language German ⓘ
titleLanguage German ⓘ
titleTranslation Theory of Groups of Finite Order ⓘ
topic composition series ⓘ
finite groups ⓘ
group homomorphisms ⓘ
group structure ⓘ
normal subgroups ⓘ
quotient groups ⓘ
simple groups ⓘ
subgroups ⓘ
usedIn historical studies of algebra ⓘ

How these facts were elicited

Referenced by (7)

Full triples — surface form annotated when it differs from this entity's canonical label.

Andreas Speiser → notableWork → Theorie der Gruppen von endlicher Ordnung ⓘ
Andreas Speiser → notableWork → Die Theorie der Gruppen von endlicher Ordnung ⓘ
linked to: Theorie der Gruppen von endlicher Ordnung
Andreas Speiser → notableWork → Die Theorie der Gruppen von endlicher Ordnung mit Anwendungen auf algebraische Zahlentheorie ⓘ
linked to: Theorie der Gruppen von endlicher Ordnung
William Burnside → notableWork → Theory of Groups of Finite Order ⓘ
linked to: Theorie der Gruppen von endlicher Ordnung
William Burnside → knownFor → Theory of Groups of Finite Order ⓘ
linked to: Theorie der Gruppen von endlicher Ordnung
William Burnside → publication → Theory of Groups of Finite Order ⓘ
linked to: Theorie der Gruppen von endlicher Ordnung
Theorie der Gruppen von endlicher Ordnung → titleTranslation → Theory of Groups of Finite Order ⓘ
linked to: Theorie der Gruppen von endlicher Ordnung