Category:Subgroup properties
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Here is a list of articles in the category Subgroup properties of the Computing portal that unifies foundations of mathematics and computations using computers. Subgroup properties are properties of subgroups of a group. These properties
are assumed to satisfy only one condition : they must be invariant up to commuting isomorphism.
That is, if [math]G[/math] and [math]G'[/math] are isomorphic groups, and [math]H[/math]
is a subgroup of [math]G[/math] whose image under the isomorphism is [math]H'[/math]
then [math]H[/math] has the property in [math]G[/math] if and only if [math]H'[/math] has the property in [math]G'[/math].
Pages in category "Subgroup properties"
The following 42 pages are in this category, out of 42 total.
A
- Abnormal subgroup (computing)
- Ascendant subgroup (computing)
B
- Basic subgroup (computing)
C
- C-normal subgroup (computing)
- Carter subgroup (computing)
- Central subgroup (computing)
- Centrally-closed subgroup (computing)
- CEP subgroup (computing)
- Characteristic subgroup (computing)
- Commutator subgroup (computing)
- Component (group theory) (computing)
- Conjugacy-closed subgroup (computing)
- Conjugate-permutable subgroup (computing)
- Contranormal subgroup (computing)
D
- Descendant subgroup (computing)
E
- Essential subgroup (computing)
F
- Fully invariant subgroup (computing)
- Fully normalized subgroup (computing)
H
- Hall subgroup (computing)
M
- Malnormal subgroup (computing)
- Maximal subgroup (computing)
- Modular subgroup (computing)
N
- Normal subgroup (computing)
P
- Paranormal subgroup (computing)
- Permutable subgroup (computing)
- Polynormal subgroup (computing)
- Pronormal subgroup (computing)
- Pure subgroup (computing)
Q
- Quasinormal subgroup (computing)
R
- Retract (group theory) (computing)
S
- Seminormal subgroup (computing)
- Semipermutable subgroup (computing)
- Serial subgroup (computing)
- Special abelian subgroup (computing)
- Strictly characteristic subgroup (computing)
- Subabnormal subgroup (computing)
- Subgroup (computing)
- Subnormal subgroup (computing)
- Sylow subgroup (computing)
T
- Transitively normal subgroup (computing)
V
- Verbal subgroup (computing)
W
- Weakly normal subgroup (computing)
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