alternating group A {2^n}

URI: https://gptkb.org/entity/alternating_group_A_{2^n}
GPTKB entity
Statements (16)
Predicate Object
gptkbp:instanceOf gptkb:group_of_people
gptkbp:centralTo trivial
gptkbp:generation 3-cycles
gptkbp:hasNormalSubgroup gptkb:symmetric_group_S_{2^n}
gptkbp:hasSubgroup gptkb:symmetric_group_S_{2^n}
https://www.w3.org/2000/01/rdf-schema#label alternating group A {2^n}
gptkbp:is_a_finite_group true
gptkbp:is_a_perfect_group true
gptkbp:is_a_simple_group_for n > 2
gptkbp:is_a_transitive_subgroup_of gptkb:symmetric_group_S_{2^n}
gptkbp:is_non-abelian_for n > 1
gptkbp:is_the_commutator_subgroup_of gptkb:symmetric_group_S_{2^n}
gptkbp:isSimple n > 2
gptkbp:order (2^n)!/2
gptkbp:bfsParent gptkb:symmetric_group_S_{2^n}
gptkbp:bfsLayer 8