Finite groups with fixed-point-free automorphisms of prime order
GPTKB entity
Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:citation |
gptkb:J._G._Thompson,_'Finite_groups_with_fixed-point-free_automorphisms_of_prime_order',_Proc._Natl._Acad._Sci._USA,_1960
|
| gptkbp:example |
finite abelian group with coprime automorphism
|
| gptkbp:field |
group theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Finite groups with fixed-point-free automorphisms of prime order
|
| gptkbp:implies |
group is nilpotent
|
| gptkbp:namedAfter |
gptkb:John_G._Thompson
|
| gptkbp:property |
automorphism acts without fixed points except identity
|
| gptkbp:relatedTo |
automorphism
fixed-point-free automorphism prime order |
| gptkbp:result |
group is nilpotent
|
| gptkbp:studiedIn |
finite group theory
|
| gptkbp:theory |
Thompson's theorem
|
| gptkbp:bfsParent |
gptkb:John_G._Thompson
|
| gptkbp:bfsLayer |
4
|