- group, ∞-group
- group object, group object in an (∞,1)-category
- abelian group, spectrum
- super abelian group
- group action, ∞-action
- representation, ∞-representation
- progroup
- homogeneous space

**Classical groups**

**Finite groups**

**Group schemes**

**Topological groups**

**Lie groups**

**Super-Lie groups**

**Higher groups**

**Cohomology and Extensions**

**Related concepts**

For $g,h \in G$ two elements of a group, their **group commutator** is defined as

$[g,h] \coloneqq g^{-1} h^{-1} g h
\,.$

This definition Is also valid for invertible semigroups.

Last revised on June 14, 2021 at 14:05:55. See the history of this page for a list of all contributions to it.