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Property:Stronger than

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The stronger than attribute is used to compare two elements in a partially ordered set. Typically, it is used to compare two (yes/no type) properties. For instance, the group property of being cyclic is stronger than the property of being Abelian, because any cyclic group is Abelian.

The opposite of this is weaker than.


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Pages using the property "Stronger than"

Showing 25 pages using this property.

1

1-automorphism-invariant subgroup +Quasiautomorphism-invariant subgroup  +, Strong quasiautomorphism-invariant subgroup  +, Characteristic subgroup  +, …
1-endomorphism-invariant subgroup +Quasiendomorphism-invariant subgroup  +, Fully invariant subgroup  +, 1-automorphism-invariant subgroup  +, …

2

2-hypernormalized subgroup +Finitarily hypernormalized subgroup  +, Intermediately finitarily hypernormalized subgroup  +, Hypernormalized subgroup  +, …
2-sub-ideal of a Lie ring +Sub-ideal of a Lie ring  +
2-subnormal subgroup +Conjugate-permutable subgroup  +, Join-transitively subnormal subgroup  +, Linear-bound join-transitively subnormal subgroup  +, …

3

3-subnormal subgroup +Subnormal subgroup  +, Conjugate-join-closed subnormal subgroup  +

4

4-subnormal subgroup +Subnormal subgroup  +

A

AEP-subgroup +Subgroup in which every subgroup characteristic in the whole group is characteristic  +
Abelian Lie ring +Nilpotent Lie ring  +, Solvable Lie ring  +
Abelian characteristic subgroup +Characteristic subgroup  +, Abelian normal subgroup  +, Class two characteristic subgroup  +, …
Abelian conjugacy-closed subgroup +Conjugacy-closed subgroup  +
Abelian critical subgroup +Critical subgroup  +
Abelian direct factor +Direct factor  +, Central subgroup  +, Complemented central factor  +, …
Abelian group +Nilpotent group  +, Solvable group  +, Metabelian group  +, …
Abelian hereditarily normal subgroup +Hereditarily normal subgroup  +, Transitively normal subgroup  +
Abelian ideal +Nilpotent ideal  +, Solvable ideal  +
Abelian normal subgroup +Normal subgroup  +, Commutator-in-center subgroup  +, Dedekind normal subgroup  +, …
Abelian normal subgroup of maximum order +Abelian normal subgroup of group of prime power order  +, Abelian normal subgroup  +, Maximal among abelian normal subgroups  +
Abelian pronormal subgroup +Pronormal subgroup  +, Center of pronormal subgroup  +, Central subgroup of pronormal subgroup  +, …
Abelian subgroup of maximum order +Maximal among abelian subgroups  +
Abelian subgroup of maximum order which is normal +Abelian subgroup of maximum order  +, Abelian normal subgroup of group of prime power order  +, Abelian normal subgroup  +, …
Abelian-extensible automorphism-invariant subgroup +Subgroup of abelian group  +
Abelian-extensible endomorphism-invariant subgroup +Subgroup of abelian group  +
Abelian-potentially characteristic subgroup +Abelian-extensible automorphism-invariant subgroup  +, Subgroup of abelian group  +
Abelian-potentially verbal subgroup +Abelian-potentially fully invariant subgroup  +, Abelian-potentially characteristic subgroup  +, Subgroup of abelian group  +
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