__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''':<~~big~~br>[[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 <~~/big~~br>[[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:~~//meta~~Relational lookup|relational paradigm]].~~wikimedia.org/wiki/Help~~Exciting add-ons like [[Groupprops:~~Contents User's Guide~~Guided tour|guided tours]] ~~for information on using ~~. The links in the ~~wiki software~~left 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:~~//www.mediawiki.org/wiki/Manual:Configuration_settings Configuration settings list~~Purpose statement|purpose statement]]~~* ~~, and learn how we [[~~http~~Groupprops:~~//www.mediawiki.org/wiki/Manual:FAQ MediaWiki FAQ~~Groupprops versus Wikipedia|differ from Wikipedia]]~~* [http~~'''Are there more wikis like this?''':~~//lists.wikimedia.org/mailman/listinfo/mediawiki-announce MediaWiki release mailing list]~~Yes, there's {{dfwiki}}, {{tpwiki}}, {{cawiki}} and {{ncwiki}}