This article describes an organization principle behind Groupprops, as well as the implementation of the principle in this wiki
Groups are encountered by many different people: representation theorists, combinatorial group theorists, geometric group theorists, universal algebraists, model theorists, finite group theorists, and what not. The idea behind theme-based organization is to make each person interested only in a particular theme, concentrate on the available material in that particular theme rather than get inundated by material from all across group theory.
The idea behind themes
What is a theme?
The term theme is not rigourously defined, and may be dependent on historical development, current research patterns, and amount of data and facts known or available in the area. Typically a theme in Groupprops could be:
- An unsolved problem that has amassed a lot of theory and ideas around it
- A solved problem or effort that amassed a lot of theories and ideas around it during the solution attempt
- A separate subject (usually with terms and definitions of its own) that links up to group theory. Often the terms and definitinos in the link may not be well-known to those working only in group theory, or those working only in the other subject
- A paradigm of ideas that has developed to understand a certain kind of object more deeply
A full listing of themes is available at Category:Themes.