Category:Terminology local to the wiki
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This page lists terminology that is local to this wiki. For using this terminology outside the wiki, please define it appropriately.
Some of the terminology may be similar to standard terminology in related areas, and may be inspired through close parallels. In fact, in most cases, the terminology is fairly self-evident once one knows the meaning.
Pages in category "Terminology local to the wiki"
The following 200 pages are in this category, out of 596 total. The count includes redirect pages that have been included in the category. Redirect pages are shown in italics.
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- Group in which every subgroup is powering-invariant
- Group isomorphic to its inner automorphism group
- Group metaproperty
- Group of finite exponent
- Group of nilpotency class two whose commutator map is the skew of a cyclicity-preserving 2-cocycle
- Group property
- Group property-conditionally characteristic-potentially characteristic subgroup
- Group property-conditionally extensible automorphism
- Group property-conditionally normal-potentially characteristic subgroup
- Group property-conditionally potentially fully invariant subgroup
- Group property-conditionally potentially verbal subgroup
- Group property-conditionally retract-potentially characteristic subgroup
- Group property-conditionally semi-strongly image-potentially characteristic subgroup
- Group property-conditionally strongly image-potentially characteristic subgroup
- Group sub-IAPS property
- Group that is 1-isomorphic to an abelian group
- Group that is the characteristic closure of a singleton subset
- Group that is the normal closure of a singleton subset
- Group whose automorphism group is abelian
- Group whose automorphism group is solvable
- Group whose automorphism group is transitive on non-identity elements
- Group whose center is an AEP-subgroup
- Group whose center is comparable with all normal subgroups
- Group whose inner automorphism group is central in automorphism group
- Group with at most n nth roots for any element
- Groups having the same Hall-Senior genus
H
I
- I-simple IAPS
- IA-automorphism-balanced subgroup
- IA-automorphism-invariant subgroup
- IAPS of groups
- Identity-true subgroup property
- IIP 2-cocycle for trivial group action
- Image condition
- Image-closed characteristic subgroup
- Image-closed fully invariant subgroup
- Image-closed intermediately subnormal-to-normal subgroup
- Image-potentially fully invariant subgroup
- Index-unique subgroup
- Infinity-extensible automorphism
- Injective endomorphism-invariant subgroup
- Injective endomorphism-quotient-balanced subgroup
- Inner-in-automorphism-Frattini group
- Inner-Lazard Lie group
- Intermediate subgroup condition
- Intermediately AEP-subgroup
- Intermediately automorph-conjugate subgroup
- Intermediately central factor-to-direct factor
- Intermediately characteristic subgroup
- Intermediately conjugacy-closed-to-retract
- Intermediately endomorphism kernel
- Intermediately fully invariant subgroup
- Intermediately injective endomorphism-invariant subgroup
- Intermediately join-transitively subnormal subgroup
- Intermediately local powering-invariant subgroup
- Intermediately normal-to-characteristic subgroup
- Intermediately normal-to-complemented subgroup
- Intermediately normality-large subgroup
- Intermediately strictly characteristic subgroup
- Intermediately subnormal-to-normal subgroup
- Intersection of automorph-conjugate subgroups
- Intersection of kernels of bihomomorphisms
- Intersection operator
- Intersection-closed subgroup property
- Intersection-closed subgroup series property
- Intersection-transiter
- Intersection-transitively automorph-conjugate subgroup
- Intersection-transitively central factor
- Intersection-transitively permutable subgroup
- Intrinsically continuous automorphism
- Invariance property
- Inverse image condition
- Isomorph-automorphic subgroup
- Isomorph-characteristic subgroup
- Isomorph-commensurable subgroup
- Isomorph-conjugate subgroup
- Isomorph-containing subgroup
- Isomorph-dominating subgroup
- Isomorph-free subgroup
- Isomorph-normal characteristic subgroup
- Isomorph-normal subgroup
J
- Join of automorph-conjugate subgroups
- Join of direct factor and central subgroup
- Join of homomorph-dominating subgroups
- Join of subnormal subgroups
- Join operator
- Join-closed group property
- Join-closed subgroup description rule
- Join-closed subgroup property
- Join-transiter
- Join-transitively 2-subnormal subgroup
- Join-transitively almost subnormal subgroup
- Join-transitively automorph-conjugate subgroup
- Join-transitively central factor
- Join-transitively finite subgroup
- Join-transitively pronormal subgroup
- Join-transitively subnormal subgroup
L
- Large subgroup
- Lattice automorphism-invariant subgroup
- Lattice-isomorph-free subgroup
- Lazard Lie group
- Lazard-dividable Lie ring
- LCS-Baer Lie group
- LCS-characteristic subgroup
- LCS-Lazard Lie group
- Left residual of intermediately subnormal-to-normal by normal
- Left residual operator for composition
- Left transiter
- Left-extensibility-stable subgroup property
- Left-hereditary subgroup property
- Left-inner right-monoidal subgroup property
- Left-inner subgroup property
- Left-quotient-transitively central factor
- Left-realized subgroup property
- Left-transitively 2-subnormal subgroup
- Left-transitively complemented normal subgroup
- Left-transitively fixed-depth subnormal subgroup
- Left-transitively homomorph-containing subgroup
- Left-transitively isomorph-containing subgroup
- Left-transitively permutable subgroup
- Left-transitively WNSCDIN-subgroup
- Lie ring arising as the double of a class two Lie cring
- Lie ring arising as the skew of a class two near-Lie cring
- Lie ring satisfying Engel and bi-Engel degree constraints in terms of powering threshold and torsion-free threshold
- Linear-bound join-transitively subnormal subgroup
- Linearly extensible automorphism
- Linearly pushforwardable automorphism
- Local divisibility-closed subgroup
- Local nilpotency class
- Local powering-invariant subgroup
- Locally boundedly generated group
- Locally conjugate conjugacy classes
- Locally conjugate representations
- Locally inner automorphism
- Locally inner automorphism-balanced subgroup
- Log-size subgroup description rule
- Log-trimmable subgroup description rule
- LUCS-Baer Lie group
- LUCS-Baer Lie ring
M
N
- NCT-subgroup property
- Nilpotency-forcing number
- Nilpotent quotient-by-core subgroup
- Nilpotent-extensible automorphism
- Normal AEP-subgroup
- Normal intermediately AEP-subgroup
- Normal sub-APS
- Normal subgroup contained in centralizer of derived subgroup
- Normal subgroup in which every subgroup characteristic in the whole group is characteristic
- Normal subgroup satisfying the subgroup-to-quotient powering-invariance implication
- Normal subgroup whose derived subgroup equals its intersection with whole derived subgroup
- Normal subgroup whose focal subgroup equals its derived subgroup
- Normal subgroup whose focal subgroup equals its intersection with the derived subgroup
- Normal subgroup whose inner automorphism group is central in automorphism group
- Normal subgroup-closed group property
- Normal subgroup-lattice automorphism-invariant subgroup
- Normal subset-conjugacy-closed subgroup
- Normal-extensible automorphism
- Normal-extensible automorphism-invariant subgroup
- Normal-hereditarily characteristic subgroup
- Normal-homomorph-containing subgroup
- Normal-isomorph-automorphic subgroup
- Normal-isomorph-containing subgroup
- Normal-isomorph-free subgroup
- Normal-potentially characteristic subgroup
- Normal-potentially fully invariant subgroup
- Normal-potentially relatively characteristic subgroup
- Normal-potentially verbal subgroup
- Normal-subhomomorph-containing subgroup
- Normality-comparable subgroup
- Normality-large subgroup
- Normality-preserving endomorphism
- Normality-preserving endomorphism-balanced subgroup
- Normality-preserving endomorphism-invariant subgroup
- Normalizer-relatively normal subgroup
- Normalizing join-closed subgroup property
- NSCFN-realizable group
- NSCFN-subgroup