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{{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|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|Special introductions for: [[Groupprops:Introduction for group theorists|group theorists]] and [[Groupprops:Introduction for teachers|teachers]]}} | ||
{{quotation|'''Articles of the day''':<br>[[Permutable subgroup]] ('''DEFINITION'''): 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 subgroup in a finite group, can never be the whole group]] ('''FACT''') <br>[[Nilpotent versus solvable]] ('''SURVEY ARTICLE'''): There are important differences between a [[nilpotent group]] and a [[solvable group]]}} | {{quotation|'''Articles of the day''':<br>[[Permutable subgroup]] ('''DEFINITION'''): 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 <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 | '''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 | ||
Revision as of 19:36, 15 March 2008
Welcome to Groupprops (The Group Properties Wiki). This is a pre-alpha stage group theory wiki primarily managed by 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
Special introductions for: group theorists and teachers
Articles of the day:
Permutable subgroup (DEFINITION): a subgroup that commutes with every other subgroup. May not be normal
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
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
What you can get: Quick access to definitions (learn more), facts (learn more), survey articles (learn more). An opportunity to explore relationships using the property-theoretic paradigm and the relational paradigm. Exciting add-ons like guided tours. The links in the left column will help you get around easily.
How to complement other resources: Complement with your group theory textbooks (learn more), use Wikipedia and Google Scholar more effectively. Enjoy the benefits of our searchbox.
What to watch out for: Read our conventions and beware of our hazards: none of the content here is peer-reviewed and very little has been verified by multiple sources.
How to join: Sign up and log in, and then proceed to customize your experience. Anybody can join, and you can learn more on 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 purpose statement, and learn how we differ from Wikipedia
Are there more wikis like this?: Yes, there's the The Differential Geometry Wiki, Topology Wiki, Commutative Algebra wiki and Noncommutative wiki