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__NOTOC__{{quotation|Welcome to '''Groupprops (The Group Properties Wiki)'''. This is a pre-alpha stage group theory wiki primarily managed by [[User:Vipul|Vipul Naik]], a Ph.D. student in Mathematics at the University of Chicago. We have nearly 1500 articles including most material in basic group theory}}{{quotation|Special introductions for: [[Groupprops:Introduction for group theorists|group theorists]] and [[Groupprops:Introduction for teachers|teachers]]}}{{quotation|'''Articles of the day''':<bigbr>[[Permutable subgroup]] ('''DEFINITION''MediaWiki has been successfully installed'): a subgroup that commutes with every other subgroup.May not be [[normal subgroup|normal]]<br>[[Union of all conjugates is proper|The union of all conjugates of a proper subgroup in a finite group, can never be the whole group]] ('''FACT'''): And this breaks down for infinite groups </bigbr>[[Nilpotent versus solvable]] ('''SURVEY ARTICLE'''): There are important differences between a [[nilpotent group]] and a [[solvable group]]}}'''What we are''': Eventually, a complete and reliable reference for group theory. For now, an exciting place to read definitions and facts of group theory, and navigate the relationships between them
Consult '''What you can get''': Quick access to [[:Category:Terminology|definitions]] ([[Help:Definition lookup|learn more]]), [[:Category:Facts|facts]] ([[Help:Fact lookup|learn more]]), [[:Category:Survey articles|survey articles]] ([[Help:Survey article lookup|learn more]]). An opportunity to explore relationships [[Help:Property-theoretic lookup|using the property-theoretic paradigm]] and the [http[Help://metaRelational lookup|relational paradigm]] add-ons like [[Groupprops:Contents User's GuideGuided tour|guided tours]] for information on using . The links in the wiki softwareleft column will help you get around easily.
== Getting started =='''How to complement other resources''': Complement with your group theory textbooks ([[Help:Using textbook references|learn more]]), use [[Help:Using Wikipedia|Wikipedia]] and [[Help:Using Google Scholar|Google Scholar]] more effectively. Enjoy the benefits of our [[Help:Using Searchbox|searchbox]].
= Testing math mode = '''What to watch out for''': Read our [[:Category:Groupprops conventions|conventions]] and beware of our [[Groupprops:Hazards|hazards]]: none of the content here is peer-reviewed and very little has been verified by multiple sources.
<math>\sum_{n=0}^\infty \frac{x^n}{n!}</math>'''How to join''': [[Special:Userlogin|Sign up and log in]], and then proceed to [[Groupprops:Customize your experience|customize your experience]]. [[Groupprops:Who can join|Anybody can join]], and you can learn more on [[Groupprops:How to contribute|contributing]], if you're interested.
'''How to get help''': [[Help:Contents]] can help with that. Also, use the request/feedback links in the left column.
* '''What is Groupprops all about?''': Read our [http[Groupprops:// Configuration settings listPurpose statement|purpose statement]]* , and learn how we [[httpGroupprops:// MediaWiki FAQGroupprops versus Wikipedia|differ from Wikipedia]]* [http'''Are there more wikis like this?''':// MediaWiki release mailing list]Yes, there's {{dfwiki}}, {{tpwiki}}, {{cawiki}} and {{ncwiki}}
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