Revision #866 → #1427 · back to history
addedNilpotent group (lead)805086dc18aa
addedNilpotent group via central series7c77012abf16
addedNilpotency classa27689a7c573
addedNilpotency class equals length of lower/upper central seriesdace2c397d2e
addedTrivial group and abelian groups by nilpotency class38a37867164d
addedAbelian groups are nilpotent7b279687fa05
addedQuaternion group Q8 is nilpotent of class 2ce724c3c321a
addedDirect product of nilpotent groupsa5a3ebe88ae9
addedFinite p-groups are nilpotent955e176164fb
addedFinite nilpotent groups decompose as direct product of p-groups25c202f94c87
addedUpper unitriangular matrices form a nilpotent group87acb3e03011
addedInvertible upper triangular matrices are solvable but not nilpotent5b1fa81065f3
addedG/Z(G) abelian implies nilpotency class 26819772b9cbc
addedOrders k forcing nilpotency (OEIS A056867)09d6800b082d
addedAdjoint action and n-Engel groups684a6fa2a844
addedn-Engel group2068e816f38f
addedAbelian groups are 1-Engelb8dafb27605f
addedEvery nilpotent group is solvable5e73eee95905
addedSubgroups and homomorphic images of nilpotent groups63f80c58cec0
addedEquivalent characterizations of finite nilpotent groups6c11f6db2613
addedSylow subgroups of infinite nilpotent groups3779cea13c42
addedHypercentral groups share properties with nilpotent groupsda5ece7172ad