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.
Observed surface forms (2)
Statements (30)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
mathematical monograph ⓘ work on finite group theory ⓘ |
| author | Otto Hölder NERFINISHED ⓘ |
| 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 NERFINISHED ⓘ |
| titleLanguage | German ⓘ |
| titleTranslation | Theory of Groups of Finite Order NERFINISHED ⓘ |
| topic |
composition series
ⓘ
finite groups ⓘ group homomorphisms ⓘ group structure ⓘ normal subgroups ⓘ quotient groups ⓘ simple groups ⓘ subgroups ⓘ |
| usedIn | historical studies of algebra ⓘ |
Referenced by (3)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
Die Theorie der Gruppen von endlicher Ordnung
this entity surface form:
Die Theorie der Gruppen von endlicher Ordnung mit Anwendungen auf algebraische Zahlentheorie