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 over 1000 articles including most material in basic group theory. It is part of a broader subject wikis initiative -- see the subject wikis reference guide for more details
Are you a beginner to group theory? Get started on a guided tour to group theory
Transitive subgroup property (DEFINITION): A subgroup satisfying the property inside a subgroup satisfying the property satisfies the property.
Characteristic of normal implies normal (FACT): And characteristicity is also the tightest such property.
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 get help: Help:Contents can help with that. Also, use the request/feedback links in the left column.
Are there more wikis like this?: Yes, there's The Differential Geometry Wiki, Topology Wiki, Commutative Algebra wiki and Noncommutative wiki. Get a complete list of related wikis and more general information at the reference guide main page.