# Category:Nonstandard terminology

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This is a category (or supercategory) listing a broad class of terms/terminology, with definitions and further information. | View other term categories

This category lists terms that are not standard and have not been used authoritatively in any standard or authentic source or reference.

## Pages in category "Nonstandard terminology"

The following 200 pages are in this category, out of 590 total. The count *includes* redirect pages that have been included in the category. Redirect pages are shown in italics.

### 1

### A

- Abelian direct factor
- Abelian hereditarily normal subgroup
- Abelian-extensible automorphism
- Abelian-extensible automorphism-invariant subgroup
- Abelian-extensible endomorphism
- Abelian-extensible endomorphism-invariant subgroup
- Abelian-potentially characteristic subgroup
- Abelian-potentially verbal subgroup
- Abelian-quotient-pullbackable automorphism-invariant subgroup
- Absolutely normal subgroup
- Action-isomorph-free subgroup
- ACU-closed group property
- ACU-closed subgroup property
- AEP-subgroup
- Amalgam-characteristic subgroup
- Amalgam-normal-subhomomorph-containing subgroup
- Amalgam-strictly characteristic subgroup
- APS homomorphism
- APS of groups
- Associated direct sum of a subnormal series
- Asymptotically fixed-depth join-transitively subnormal subgroup
- Auto-invariance property
- Autoclinism-invariant subgroup
- Automorph-commensurable subgroup
- Automorph-conjugate subgroup
- Automorph-dominating subgroup
- Automorph-join-closed subnormal subgroup
- Automorph-permutable subgroup
- Automorphic subgroups
- Automorphically endomorph-dominating subgroup
- Automorphism-faithful subgroup

### B

- Baer alternating loop ring
- Baer diassociative loop
- Baer Lie group
- Baer Lie ring
- Baer Malcev ring
- Balanced subgroup property (function restriction formalism)
- Balanced subgroup property (generic notion)
- Base diagonal of a wreath product
- Base of a wreath product with diagonal action
- Binilpotency
- Bound-word subgroup
- Bounded-nilpotent IAPS
- Bounded-solvable IAPS

### C

- Canonically Lazard-dividable Lie ring
- Canonically Lazard-divided Lie ring
- CDIN-subgroup
- Center-fixing automorphism-balanced subgroup
- Central factor of normalizer
- Central factor-extensible automorphism
- Centralizer-annihilating endomorphism-invariant subgroup
- Centralizer-dense subgroup
- Centralizer-free subgroup
- Centralizer-large subgroup
- Chain-extensible automorphism
- Character-conjugate conjugacy classes
- Characteristic AEP-subgroup
- Characteristic subgroup of direct factor
- Characteristic subgroup-closed group property
- Characteristic transitively normal subgroup
- Characteristic-extensible automorphism
- Characteristic-isomorph-free subgroup
- Characteristic-potentially characteristic subgroup
- Characteristic-semidirectly extensible automorphism
- Characteristically complemented normal subgroup
- Characteristically complemented subgroup
- Characteristically DP-decomposable subgroup
- Characteristically Hopfian group
- Characteristically metacyclic group
- Characteristically metacylic group
- Characteristically polycyclic group
- Class two Lie cring
- Class two near-Lie cring
- Class-inner automorphism
- Class-separating field
- Closure-characteristic subgroup
- Cocentral subgroup
- Cofactorial automorphism-invariant subgroup
- Collection of groups satisfying a property-conditional congruence condition
- Collection of groups satisfying a universal congruence condition
- Collection of groups satisfying a universal non-divisibility condition
- Commutator-closed subgroup property
- Commutator-in-center subgroup
- Commutator-in-centralizer subgroup
- Commutator-realizable group
- Complemented central factor
- Complemented isomorph-containing subgroup
- Complemented transitively normal subgroup
- Completely divisibility-closed subgroup
- Completion-equivalent subgroups
- Composition factor-permutable group
- Composition factor-unique group
- Composition operator
- Composition series-unique group
- Conjugacy-closed normal subgroup
- Conjugacy-determined subgroup
- Conjugate-commensurable subgroup
- Conjugate-dense subgroup
- Conjugate-join-closed subgroup property
- Conjugate-join-closed subnormal subgroup
- Conjugate-large subgroup
- Conjugation-invariantly permutably complemented subgroup
- Conjugation-invariantly relatively normal subgroup
- Constructibly critical subgroup
- Contracharacteristic subgroup
- Coprime automorphism-faithful characteristic subgroup
- Coprime automorphism-faithful subgroup
- Coprime automorphism-invariant subgroup
- Core-characteristic subgroup
- Cring
- CS-extensible automorphism
- CS-pushforwardable automorphism
- CSCFN-realizable group
- Cyclic normal subgroup of finite group

### D

- Diagonal subgroup of a direct power
- Diagram-extensible automorphism
- Direct factor of characteristic subgroup
- Direct factor over central subgroup
- Direct product of subgroups of factors in direct product decomposition into cyclic groups
- Direct product-closed subgroup property
- Direct-product-closed subgroup property
- Directed union-closed group property
- Divisibility-closed subgroup
- Divisible normal subgroup
- Double coset-ordering subgroup
- Double coset-separated subgroup
- DRC-subgroup

### E

- EEP-subgroup
- Elementarily characteristic subgroup
- Encoding of an IAPS of groups
- Endo-invariance property
- Endoclinism-invariant subgroup
- Endomorph-dominating subgroup
- Endomorphism kernel
- Eventually simple IAPS
- Existence-bound-word subgroup
- Existentially bound-word subgroup
- Extended class-preserving automorphism
- Extensibility operator
- Extensible endomorphism

### F

- FACPC-subgroup
- Finitarily hypernormalized subgroup
- Finite abelian-strongly potentially characteristic subgroup
- Finite direct power-closed characteristic subgroup
- Finite group that is not isoclinic to a group of smaller order
- Finite-automorph-join-closed subnormal subgroup
- Finite-conjugate-join-closed subnormal subgroup
- Finite-dominating subgroup
- Finite-extensible automorphism
- Finite-extensible endomorphism
- Finite-Frattini-realizable group
- Finite-intersection-closed subgroup property
- Finite-iteratively extensible automorphism
- Finite-p-potentially characteristic subgroup
- Finite-p-potentially fully invariant subgroup
- Finite-pi-potentially characteristic subgroup
- Finite-pi-potentially fully invariant subgroup
- Finite-pi-potentially verbal subgroup
- Finite-potentially fully invariant subgroup
- Finite-quotient-pullbackable automorphism
- Finite-relative-intersection-closed subgroup property
- Formula automorphism
- Frattini-embedded normal-realizable group
- Frattini-in-center group
- Free-quotient subgroup
- Frugal Lazard-divided Lie ring
- Fully invariant subgroup of group of prime power order
- Fully invariant-potentially fully invariant subgroup
- Function property
- Function restriction-expressible subgroup property
- Fusion system-relatively strongly closed subgroup
- Fusion system-relatively weakly closed subgroup

### G

- GL IAPS
- Global LCS-Lazard Lie group
- Global LUCS-Lazard Lie group
- Global LUCS-Lazard Lie ring
- Global UCS-Lazard Lie group
- Group action property
- Group admitting a partition into abelian subgroups
- Group admitting a partition into cyclic subgroups
- Group extension operator
- Group having a class-inverting automorphism
- Group having an abelian conjugate-dense subgroup
- Group having an abelian contranormal subgroup
- Group having no proper isoclinic subgroup
- Group having no proper nontrivial transitively normal subgroup
- Group in which any two characteristic subgroups are comparable
- Group in which every automorph-conjugate subgroup is characteristic
- Group in which every automorphism is normal-extensible
- Group in which every characteristic subgroup is powering-invariant
- Group in which every element is automorphic to its inverse
- Group in which every endomorphism is trivial or an automorphism
- Group in which every locally inner automorphism is inner
- Group in which every normal subgroup is powering-invariant
- Group in which every normal-extensible automorphism is inner