This article is about the groupprops wiki itself
The groupprops wiki is concerned mainly with the abstract theory of groups, both finite and infinite groups. It also aims to have extensive coverage on related areas.
We here describe the content scope of Groupprops in relation to the mathematical subject classification for group theory. This is not because the wiki was designed based on the MSC,but because the MSC forms a convenient benchmark and starting point with which to compare and explain the wiki's content.
Basics of group theory
Groupprops can be used to pick up the basic definitions in group theory. The following are convenient lists of definitions and facts:
- Category:Basic definitions in group theory provides a list of all the basic definitions. Also closely related is Category:Semi-basic definitions in group theory
- Category:Basic facts in group theory and Category:Elementary non-basic facts in group theory cover all the facts of relevance regarding the basic notions of group theory.
For a guided tour into basic definitions, please check out Groupprops:Guided tour for beginners.
General theory of groups
This would come roughly under Section 20F of the MSC, which is titled Special aspects of finite or infinite groups. This includes aspects like:
- A whole range of group properties such as simple group, nilpotent group, solvable group, supersolvable group etc. Some of the group properties, which are tuned specifically for finite groups, would better come under Section 20D, while some would come under 20E. A full list of group properties is available at the monster category:
- A whole range of subgroup properties, such as subnormal subgroup, maximal subgroup etc. A full list of subgroup properties is available at the monster category: