# Category:Examples of Groups

This category contains examples of Group.

A **group** is a semigroup with an identity (that is, a monoid) in which every element has an inverse.

## Subcategories

This category has the following 49 subcategories, out of 49 total.

### A

### D

### E

### G

### M

### O

### S

### T

## Pages in category "Examples of Groups"

The following 21 pages are in this category, out of 21 total.

### G

- Group Example: x inv c y
- Group of Rationals Modulo One is Group
- Group of Rotations about Fixed Point is not Abelian
- Group/Examples
- Group/Examples/inv x = 1 - x
- Group/Examples/Linear Functions
- Group/Examples/Self-Inverse and Cancellable Elements
- Group/Examples/x+y over 1+xy
- Group/Examples/x+y over 1+xy/Isomorphic to Real Numbers
- Group/Examples/x+y+2 over Reals
- Group/Examples/x+y+xy over Reals less -1