S n

URI: https://gptkb.org/entity/S_n
GPTKB entity
Statements (23)
Predicate Object
gptkbp:instance_of gptkb:musical_group
gptkbp:acts_on_set {1, 2, ..., n}
gptkbp:character_traits gptkb:S_n
gptkbp:contains_identity_element gptkb:true
gptkbp:difficulty gptkb:true
gptkbp:has_conjugacy_classes gptkb:true
gptkbp:has_inverses gptkb:true
gptkbp:has_normal_subgroups gptkb:A_n
gptkbp:has_produced transpositions
gptkbp:has_subgroup gptkb:A_n
Sym(n)
https://www.w3.org/2000/01/rdf-schema#label S n
gptkbp:is false
gptkbp:is_a_center_for {e}
gptkbp:is_associative gptkb:true
gptkbp:is_closed_under_composition gptkb:true
gptkbp:is_group gptkb:true
gptkbp:is_non_abelian gptkb:true
gptkbp:is_represented_in permutations
gptkbp:is_transitive gptkb:true
gptkbp:order n!
gptkbp:bfsParent gptkb:musical_group
gptkbp:bfsLayer 4