From Groupprops
A defining ingredient is a term, definition or idea that helps in defining the given term.
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Pages using the property "Defining ingredient"
Showing 25 pages using this property.
1 | |
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| 1-automorphism-invariant subgroup + | 1-automorphism of a group + |
| 1-endomorphism-invariant subgroup + | 1-endomorphism of a group + |
| 1-isomorphic finite groups + | 1-isomorphic groups +, Directed power graph of a group +, Undirected power graph of a group + |
2 | |
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| 2-cocycle for a group action + | Cocycle for a group action +, Bar resolution + |
| 2-cocycle for trivial group action + | 2-cocycle for a group action + |
| 2-submaximal subgroup + | Maximal subgroup + |
| 2-subnormal subgroup + | Normal subgroup +, Normal closure +, Normalizer of a subgroup +, … |
3 | |
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| 3-subnormal subgroup + | Normal subgroup +, 2-subnormal subgroup + |
4 | |
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| 4-subnormal subgroup + | Subnormal subgroup +, Subnormal depth +, 2-subnormal subgroup +, … |
A | |
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| ACIC-group + | Automorph-conjugate subgroup +, Characteristic subgroup + |
| Abelian characteristic subgroup + | Characteristic subgroup +, Abelian group + |
| Abelian conjugacy-closed subgroup + | Conjugacy-closed subgroup +, Abelian group + |
| Abelian critical subgroup + | Critical subgroup +, Abelian group + |
| Abelian direct factor + | Direct factor +, Abelian group +, Central subgroup + |
| Abelian group + | Center +, Derived subgroup +, Diagonal-in-square operator +, … |
| Abelian hereditarily normal subgroup + | Hereditarily normal subgroup +, Abelian group +, Transitively normal subgroup +, … |
| Abelian normal subgroup + | Normal subgroup +, Abelian group + |
| Abelian normal subgroup of group of prime power order + | Abelian normal subgroup +, Group of prime power order + |
| Abelian normal subgroup of maximum rank + | Abelian normal subgroup +, Abelian group +, Normal subgroup +, … |
| Abelian pronormal subgroup + | Pronormal subgroup +, Abelian group + |
| Abelian subgroup + | Abelian group + |
| 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 + | Abelian-extensible automorphism + |
| Abelian-extensible endomorphism-invariant subgroup + | Abelian-extensible endomorphism + |
| Abelian-quotient-pullbackable automorphism-invariant subgroup + | Abelian-quotient-pullbackable automorphism + |
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