Category:Subgroup metaproperty dissatisfactions
This category lists examples of metaproperty dissatisfactions for subgroups; in other words, it gives situations where a given subgroup property does not satisfy a given subgroup metaproperty
Pages in category "Subgroup metaproperty dissatisfactions"
The following 75 pages are in this category, out of 75 total. The count includes redirect pages that have been included in the category. Redirect pages are shown in italics.
2
A
C
- Central factor is not finite-intersection-closed
- Central factor is not finite-join-closed
- Central factor is not quotient-transitive
- Characteristicity does not satisfy image condition
- Characteristicity does not satisfy intermediate subgroup condition
- Characteristicity does not satisfy lower central series condition
- Characteristicity is not finite direct power-closed
- Characteristicity is not finite-relative-intersection-closed
- Characteristicity is not upper join-closed
- Cofactorial automorphism-invariance is not transitive
- Conjugacy-closedness is not join-closed
- Conjugacy-closedness is not upper join-closed
- Cyclic normal is not join-closed
D
E
F
I
L
N
P
- Permutability is not finite-intersection-closed
- Permutability is not transitive
- Permutability is not upper join-closed
- Permutably complemented does not satisfy transfer condition
- Permutably complemented is not finite-intersection-closed
- Permutably complemented is not transitive
- Powering-invariance does not satisfy intermediate subgroup condition
- Powering-invariance is not commutator-closed
- Powering-invariance is not finite-join-closed
- Powering-invariance is not quotient-transitive
- Procharacteristicity is not finite-join-closed
- Pronormality does not satisfy transfer condition
- Pronormality is not centralizer-closed
- Pronormality is not commutator-closed
- Pronormality is not finite-intersection-closed
- Pronormality is not finite-join-closed
- Pronormality is not finite-upper join-closed
- Pronormality is not permuting join-closed
- Pronormality is not transitive