There is currently no text in this page. You can search for this page title in other pages, or search the related logs, but you do not have permission to create this page.

# Category:Subgroup property satisfactions

From Groupprops

## Pages in category "Subgroup property satisfactions"

The following 26 pages are in this category, out of 26 total. The count *includes* redirect pages that have been included in the category. Redirect pages are shown in italics.

### B

### F

- Finitary alternating group is characteristic in symmetric group
- Finitary alternating group is conjugacy-closed in symmetric group
- Finitary symmetric group is automorphism-faithful in symmetric group
- Finitary symmetric group is centralizer-free in symmetric group
- Finitary symmetric group is characteristic in symmetric group
- Finitary symmetric group is locally inner automorphism-balanced in symmetric group
- Finitary symmetric group is normal in symmetric group
- Finitary symmetric group on infinite subset is conjugate-dense
- Finitary symmetric group on subset is conjugacy-closed

### I

### O

### S

- Special linear group is characteristic in general linear group
- Special linear group is cocentral in general linear group iff nth power map is surjective
- Special linear group is fully characteristic in general linear group
- Subgroup generated by commutator of generators of free group on two generators is automorph-conjugate
- Symmetric group on finite or cofinite subset is conjugacy-closed
- Symmetric group on finite or cofinite subset is subset-conjugacy-closed