Hans Zassenhaus
E239880
Hans Zassenhaus was a German mathematician known for his contributions to group theory, algebra, and computational algebra, including the development of the Zassenhaus algorithm and Zassenhaus lemma.
All labels observed (3)
| Label | Occurrences |
|---|---|
| Hans Zassenhaus canonical | 2 |
| H. Zassenhaus | 1 |
| Zassenhaus | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T1862444 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Hans Zassenhaus Context triple: [Helmut Hasse, notableStudent, Hans Zassenhaus]
-
A.
Bartel Leendert van der Waerden
Bartel Leendert van der Waerden was a Dutch mathematician best known for his foundational work in abstract algebra and contributions to algebraic geometry and number theory.
-
B.
Emil Artin
Emil Artin was a prominent 20th-century Austrian mathematician renowned for his foundational contributions to algebra, particularly class field theory and Artin reciprocity.
-
C.
Helmut Hasse
Helmut Hasse was a German mathematician renowned for his contributions to algebraic number theory and local class field theory, including the Hasse principle and Hasse–Minkowski theorem.
-
D.
Ernst Witt
Ernst Witt was a German mathematician known for his influential work in algebra, particularly in the theory of quadratic forms, Witt vectors, and the classification of finite simple groups.
-
E.
Max Dehn
Max Dehn was a German mathematician known for his foundational work in topology and group theory, including the introduction of Dehn surgery and the study of decision problems in group theory.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Hans Zassenhaus Target entity description: Hans Zassenhaus was a German mathematician known for his contributions to group theory, algebra, and computational algebra, including the development of the Zassenhaus algorithm and Zassenhaus lemma.
-
A.
Bartel Leendert van der Waerden
Bartel Leendert van der Waerden was a Dutch mathematician best known for his foundational work in abstract algebra and contributions to algebraic geometry and number theory.
-
B.
Emil Artin
Emil Artin was a prominent 20th-century Austrian mathematician renowned for his foundational contributions to algebra, particularly class field theory and Artin reciprocity.
-
C.
Helmut Hasse
Helmut Hasse was a German mathematician renowned for his contributions to algebraic number theory and local class field theory, including the Hasse principle and Hasse–Minkowski theorem.
-
D.
Ernst Witt
Ernst Witt was a German mathematician known for his influential work in algebra, particularly in the theory of quadratic forms, Witt vectors, and the classification of finite simple groups.
-
E.
Max Dehn
Max Dehn was a German mathematician known for his foundational work in topology and group theory, including the introduction of Dehn surgery and the study of decision problems in group theory.
- F. None of above. chosen
Statements (42)
| Predicate | Object |
|---|---|
| instanceOf |
human
ⓘ
mathematician ⓘ |
| awardReceived |
Frank Nelson Cole Prize in Algebra
ⓘ
surface form:
Cole Prize in Algebra
|
| countryOfCitizenship | Germany ⓘ |
| doctoralAdvisor | Emil Artin ⓘ |
| educatedAt | University of Hamburg NERFINISHED ⓘ |
| employer |
McGill University
ⓘ
Ohio State University ⓘ |
| familyName |
Hans Zassenhaus
self-linksurface differs
ⓘ
surface form:
Zassenhaus
|
| fieldOfWork |
algebra
ⓘ
computational algebra ⓘ group theory ⓘ mathematics ⓘ |
| givenName | Hans ⓘ |
| hasAcronym |
Hans Zassenhaus
self-linksurface differs
ⓘ
surface form:
H. Zassenhaus
|
| influenced |
later developments in computational algebra
ⓘ
research in finite group theory ⓘ |
| influencedBy | Emil Artin ⓘ |
| knownFor |
contributions to algebra
ⓘ
contributions to computational algebra ⓘ contributions to group theory ⓘ |
| languageOfWorkOrName |
English
ⓘ
German ⓘ |
| memberOf |
American Mathematical Society
ⓘ
Mathematical community of group theorists ⓘ |
| nativeLanguage | German ⓘ |
| notableConcept |
Zassenhaus algorithm for factoring polynomials over the rationals
ⓘ
surface form:
Zassenhaus algorithm in computer algebra
Zassenhaus lemma ⓘ
surface form:
Zassenhaus lemma in group theory
|
| notableStudent | Olga Taussky-Todd ⓘ |
| notableWork |
Cantor–Zassenhaus algorithm
ⓘ
surface form:
Zassenhaus algorithm
Zassenhaus algorithm for factoring polynomials over the rationals ⓘ Zassenhaus conjecture ⓘ Zassenhaus filtration ⓘ Lie ring ⓘ
surface form:
Zassenhaus group
Zassenhaus lemma ⓘ Zassenhaus neighborhood ⓘ |
| occupation |
researcher
ⓘ
university teacher ⓘ |
| sexOrGender | male ⓘ |
| workLocation |
Canada
ⓘ
Germany ⓘ United States of America ⓘ
surface form:
United States
|
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Hans Zassenhaus Description of subject: Hans Zassenhaus was a German mathematician known for his contributions to group theory, algebra, and computational algebra, including the development of the Zassenhaus algorithm and Zassenhaus lemma.
Referenced by (4)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
Zassenhaus
this entity surface form:
H. Zassenhaus