- 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**

A *maximal subgroup* of a given group $G$ is a subgroup which is not all of $G$ and not contained in any other subgroup of $G$.

Hence a maximal subgroup is a maximal element of the lattice of subgroups after removing the trivial subgroup $G \subset G$ itself. More concisely it is a coatom of $G$‘s subgroup lattice.

See also

- Wikipedia,
*Maximal subgroup*

Last revised on April 1, 2019 at 15:42:42. See the history of this page for a list of all contributions to it.