proper subgroup
A proper subgroup of a group is a subgroup of such that .
The only subgroup of that is not a proper subgroup is itself, which may therefore occasionally be called an improper subgroup.
Title | proper subgroup |
---|---|
Canonical name | ProperSubgroup |
Date of creation | 2013-03-22 12:49:10 |
Last modified on | 2013-03-22 12:49:10 |
Owner | yark (2760) |
Last modified by | yark (2760) |
Numerical id | 7 |
Author | yark (2760) |
Entry type | Definition |
Classification | msc 20A99 |
Related topic | Subgroup |
Related topic | Group |
Defines | improper subgroup |