Conway group

GPTKB entity

Statements (55)
Predicate Object
gptkbp:instance_of gptkb:musical_group
gptkbp:bfsLayer 5
gptkbp:bfsParent gptkb:Sporadic_group
gptkbp:connects the theory of modular forms
the theory of lattices
gptkbp:contains Conway group of order 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12
gptkbp:features_character with 24 entries
gptkbp:focuses_on current mathematical research
gptkbp:has_member the symmetric group
the Monster group
the Conway subgroup
the automorphism group
gptkbp:has_programs gptkb:physicist
gptkbp:has_transformation the Leech lattice
https://www.w3.org/2000/01/rdf-schema#label Conway group
gptkbp:is_a_center_for the symmetric group
gptkbp:is_a_figure_in the theory of finite groups
gptkbp:is_associated_with geometry
gptkbp:is_connected_to modular forms
gptkbp:is_divided_into the direct product of groups
gptkbp:is_involved_in the study of algebraic structures
combinatorial designs
gptkbp:is_part_of the classification of finite simple groups
gptkbp:is_related_to symmetry
the classification of groups
the theory of groups
gptkbp:is_represented_in a specific matrix representation
as a permutation group
the character theory
gptkbp:is_studied_in gptkb:Mathematician
algebraic topology
unique properties
group cohomology
gptkbp:is_used_in gptkb:Mathematician
gptkb:legal_case
the study of symmetry in physics
gptkbp:key gptkb:musical_group
a sporadic simple group
gptkbp:members has applications in various fields
a rich structure
the sporadic groups
has a rich history in mathematics
has been extensively researched.
has interesting combinatorial properties
is often studied in relation to other groups
order 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12
gptkbp:named_after gptkb:John_Horton_Conway
gptkbp:notable_event a finite simple group
gptkbp:order 2^3 * 3^2 * 5 * 7 = 1680
gptkbp:produced_by two elements
gptkbp:scientific_classification a simple group
gptkbp:significant_event the study of symmetry
gptkbp:subject abstract algebra
theoretical mathematics
gptkbp:type_of gptkb:musical_group