Category:Definitions/Maximal Subgroups
Jump to navigation
Jump to search
This category contains definitions related to Maximal Subgroups.
Related results can be found in Category:Maximal Subgroups.
Let $G$ be a group.
Let $M \le G$ be a proper subgroup of $G$.
Then $M$ is a maximal subgroup of $G$ if and only if:
- For every subgroup $H$ of $G$, $M \subseteq H \subseteq G$ means $M = H$ or $H = G$.
That is, if and only if there is no subgroup of $G$, except $M$ and $G$ itself, which contains $M$.
Subcategories
This category has only the following subcategory.
M
Pages in category "Definitions/Maximal Subgroups"
The following 2 pages are in this category, out of 2 total.