Feit–Thompson theorem
E1067769
UNEXPLORED
The Feit–Thompson theorem is a landmark result in group theory that proves every finite group of odd order is solvable, marking the first major classification of a broad class of finite simple groups.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Feit–Thompson theorem canonical | 1 |
| Feit–Thompson theorem on solvability of groups of odd order | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T13909166 — 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: Feit–Thompson theorem Context triple: [John G. Thompson, knownFor, Feit–Thompson theorem]
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A.
Zassenhaus conjecture
The Zassenhaus conjecture is a prominent open problem in group theory concerning the structure of units in integral group rings and their relation to the underlying finite group.
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B.
Cauchy's theorem in group theory
Cauchy's theorem in group theory is a fundamental result stating that if a finite group’s order is divisible by a prime p, then the group contains an element (and hence a subgroup) of order p.
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C.
Jordan–Hölder theorem
The Jordan–Hölder theorem is a fundamental result in group theory stating that any two composition series of a finite group have the same length and the same (up to order and isomorphism) simple factor groups.
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D.
Schreier refinement theorem
The Schreier refinement theorem is a result in group theory stating that any two subnormal series of a group admit equivalent refinements, serving as a precursor and companion to the Jordan–Hölder theorem.
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E.
Sylow theorems
The Sylow theorems are fundamental results in finite group theory that describe the existence, conjugacy, and number of subgroups whose orders are powers of a prime dividing the group order.
- 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: Feit–Thompson theorem Target entity description: The Feit–Thompson theorem is a landmark result in group theory that proves every finite group of odd order is solvable, marking the first major classification of a broad class of finite simple groups.
-
A.
Zassenhaus conjecture
The Zassenhaus conjecture is a prominent open problem in group theory concerning the structure of units in integral group rings and their relation to the underlying finite group.
-
B.
Cauchy's theorem in group theory
Cauchy's theorem in group theory is a fundamental result stating that if a finite group’s order is divisible by a prime p, then the group contains an element (and hence a subgroup) of order p.
-
C.
Jordan–Hölder theorem
The Jordan–Hölder theorem is a fundamental result in group theory stating that any two composition series of a finite group have the same length and the same (up to order and isomorphism) simple factor groups.
-
D.
Schreier refinement theorem
The Schreier refinement theorem is a result in group theory stating that any two subnormal series of a group admit equivalent refinements, serving as a precursor and companion to the Jordan–Hölder theorem.
-
E.
Sylow theorems
The Sylow theorems are fundamental results in finite group theory that describe the existence, conjugacy, and number of subgroups whose orders are powers of a prime dividing the group order.
- F. None of above. chosen
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: Feit–Thompson theorem