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Category:Subgroup properties
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This is a monster category, that is, it has a lot of members. Please use the subcategory structure of this category or other tools (Such as lookup and exploration guideline pages) to explore the category more effectively
This is a category of properties for the following kind of objects: subgroups. In other words, this category lists subgroup properties
All articles in subcategories of this category are also directly included in this category
View a complete list of property categories
This is the category of important instances of subgroup property. Please check the:
The inclusion template for this category is Template:Subgroup property. Note that inclusion in any subcategory may or may not guarantee direct inclusion into the given category.
Contents |
Related categories
Subcategory for pivotal elements
To see only the more important, or pivotal, among subgroup properties, refer Category:Pivotal subgroup properties.
Properties/metaproperties
Related categories include:
- Category:Properties of subsets of groups
- Category:Subgroup pair properties
- Category:Properties of subgroup series
- Category:Properties of subgroup families
- Category:Subgroup metaproperties
Testing/computational problems
Facts and proofs related to subgroup properties
- Category:Subgroup property implications is a list of articles, each article describing an implication between two subgroup properties. For instance, characteristic implies normal meaning that every characteristic subgroup is a normal subgroup.
- Category:Subgroup property non-implications is a list of articles, each article describing why a particular subgroup property does not imply another one. Usually, the proof is constructive, giving an example of a subgroup satisfying the second property but not the first. For instance, normal not implies characteristic
- Category:Subgroup metaproperty satisfactions is a list of articles, each article describing how/why a given subgroup property satisfies a given subgroup metaproperty.
- Category:Subgroup metaproperty dissatisafction is a list of articles, each article describing how/why a given subgroup property does not satisfy a given subgroup metaproperty.
Notations page
The page giving notations for important subgroup properties is:
Notation for subgroup properties
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Subcategories
This category has the following 8 subcategories, out of 21 total.
CD |
FI |
I cont.JP |
Pages in category "Subgroup properties"
The following 192 pages are in this category, out of 290 total.
