# Category:Statements about fractions of group elements or tuples satisfying a condition

From Groupprops

This category lists statements whose hypothesis or conclusion deals with the fraction of group elements or tuples of group elements satisfying a particular condition.

## Pages in category "Statements about fractions of group elements or tuples satisfying a condition"

The following 7 pages are in this category, out of 7 total. The count *includes* redirect pages that have been included in the category. Redirect pages are shown in italics.

### V

- Automorphism sends more than three-fourths of elements to inverses implies abelian
- Commuting fraction in subgroup is at least as much as in whole group
- Commuting fraction more than five-eighths implies abelian
- Commuting fraction more than half implies nilpotent
- Endomorphism sends more than three-fourths of elements to squares implies abelian
- Fraction of tuples satisfying groupy relation in subgroup is at least as much as in whole group
- Subgroup of size more than half is whole group