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
|