the Monster Group

GPTKB entity

Statements (62)
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_dimension 196883
gptkbp:has_a_focus_on group theory research
gptkbp:has_a_projective_representation in 196883 dimensions
gptkbp:has_a_subgroup_of_index gptkb:3
2
gptkbp:has_a_unique_automorphism the outer automorphism group
gptkbp:has_a_unique_normal_subgroup the Baby Monster Group
gptkbp:has_a_unique_subgroup the Baby Monster
gptkbp:has_connection_to the theory of algebraic groups
gptkbp:has_subgroup gptkb:11
gptkb:13
gptkb:19
gptkb:5
gptkb:7
gptkb:17
gptkb:23
29
31
37
3^2
2^24
the Fischer group F_1
https://www.w3.org/2000/01/rdf-schema#label the Monster Group
gptkbp:is_a_central_example_in the study of finite groups.
gptkbp:is_a_central_extension_of the Baby Monster Group
gptkbp:is_a_central_figure_in the study of algebraic structures
the classification of finite simple groups
the study of finite groups
gptkbp:is_a_finite_group gptkb:true
gptkbp:is_a_maximal_subgroup_of the Baby Monster Group
gptkbp:is_a_member_of the sporadic groups
gptkbp:is_a_representation_of in 196883 dimensions
that is complex
gptkbp:is_a_simple_group gptkb:true
gptkbp:is_a_sporadic_group gptkb:true
gptkbp:is_a_subject_of gptkb:Mathematics
abstract algebra
mathematical research
gptkbp:is_a_symbol_of gptkb:M
gptkbp:is_associated_with vertex operator algebras
gptkbp:is_connected_to the theory of modular forms
modular functions
gptkbp:is_involved_in the study of symmetry
gptkbp:is_part_of the classification of finite simple groups
the Monster Moonshine conjecture
gptkbp:is_related_to gptkb:string_theory
the Leech lattice
gptkbp:is_represented_in the Monster Lie algebra
gptkbp:is_studied_for symmetry properties
gptkbp:is_studied_in gptkb:musical_group
gptkbp:is_used_in mathematical physics
gptkbp:key_concept the study of symmetry in mathematics
gptkbp:key_feature finite group theory
the theory of groups
gptkbp:notable_examples a finite simple group
gptkbp:order 8080174247945124376730962524205781252
gptkbp:scientific_classification a sporadic simple group
gptkbp:structure the field of group theory