Statements (55)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:musical_group
|
| gptkbp:bfsLayer |
4
|
| gptkbp:bfsParent |
gptkb:Fischer_group
|
| gptkbp:difficulty |
gptkb:theorem
|
| gptkbp:has_member |
gptkb:Alternating_group
gptkb:Symmetric_group |
| https://www.w3.org/2000/01/rdf-schema#label |
Sporadic group
|
| gptkbp:includes |
gptkb:Fischer_group
gptkb:Harada-Norton_group gptkb:Monster_group gptkb:Thompson_group gptkb:Conway_group gptkb:Janko_group gptkb:Lyons_group gptkb:Mc_Laughlin_group gptkb:Suzuki_group O' Nan group Baby Monster group G2(2) group G2(3) group Held group Rudvalis group |
| gptkbp:is |
gptkb:theorem
|
| gptkbp:is_characterized_by |
Finite order
Complex representation theory Connection to Lie groups Connection to algebraic geometry Connection to algebraic groups Connection to algebraic topology Connection to coding theory Connection to cohomology theory Connection to combinatorial designs Connection to combinatorics Connection to finite geometry Connection to group actions Connection to homology theory Connection to homotopy theory Connection to modular forms Connection to number theory Connection to quantum groups Connection to representation categories Connection to representation theory Connection to symmetry Connection to topology Exceptional nature High symmetry Non-abelian structure Rich subgroup structure Simple group property Unique composition |
| gptkbp:is_related_to |
Group theory
|
| gptkbp:is_used_in |
gptkb:Mathematician
gptkb:currency Theoretical physics |
| gptkbp:order |
8080174247945124376731961152021
|