Statements (84)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:musical_group
|
| gptkbp:discovered_by |
gptkb:Robert_Griess
|
| gptkbp:has_a_centralizer |
of order 2
|
| gptkbp:has_a_character_table |
with 194 entries
|
| gptkbp:has_a_subgroup_of_index |
2
|
| gptkbp:has_connection_to |
modular functions
|
| gptkbp:has_natural_feature |
nontrivial normal subgroup
element of order 1 element of order 11 element of order 13 element of order 17 element of order 19 element of order 2 element of order 23 element of order 29 element of order 3 element of order 31 element of order 37 element of order 41 element of order 43 element of order 47 element of order 5 element of order 53 element of order 59 element of order 61 element of order 67 element of order 7 element of order 71 element of order 73 element of order 79 element of order 83 element of order 89 element of order 97 subgroup of order 2 |
| gptkbp:has_subgroup |
gptkb:3
the symmetric group the Baby Monster Group |
| https://www.w3.org/2000/01/rdf-schema#label |
The Monster Group
|
| gptkbp:is_a |
gptkb:musical_group
finite simple group |
| gptkbp:is_a_central_figure_in |
the study of symmetry
the theory of finite groups |
| gptkbp:is_a_representation_of |
in 196883 dimensions
|
| gptkbp:is_a_subject_of |
gptkb:Physics
representation theory abstract algebra ongoing research combinatorial group theory the study of algebraic structures the study of group actions the study of number theory the study of mathematical proofs the study of combinatorial structures the study of mathematical analysis mathematical intrigue |
| gptkbp:is_a_symbol_of |
gptkb:M
|
| gptkbp:is_associated_with |
vertex operator algebras
|
| gptkbp:is_connected_to |
the theory of modular forms
the Monster moonshine conjecture |
| gptkbp:is_involved_in |
the theory of automorphic forms
|
| gptkbp:is_part_of |
the classification of finite simple groups
the larger family of sporadic groups |
| gptkbp:is_related_to |
gptkb:string_theory
conformal field theory the Leech lattice |
| gptkbp:is_studied_in |
algebraic topology
many mathematicians |
| gptkbp:is_used_in |
mathematical physics
|
| gptkbp:key_feature |
the study of symmetry in mathematics
the classification of groups the study of algebraic geometry symmetry in mathematics finite group theory the study of algebraic topology the study of mathematical structures the study of mathematical logic the structure of groups the study of finite groups group theory in mathematics the interplay between algebra and geometry the study of mathematical theories |
| gptkbp:major_city |
gptkb:sporadic_group
|
| gptkbp:order |
8080174247945124371733203001
|
| gptkbp:was_classified_in |
the 1980s
|