# Category:Examples of Groups

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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 54 subcategories, out of 54 total.

### A

### D

### E

### F

### G

### M

### O

### S

### T

## Pages in category "Examples of Groups"

The following 36 pages are in this category, out of 36 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+2 over Reals
- Group/Examples/x+y+xy over Reals less -1
- Group/Non-Group Examples
- Group/Non-Group Examples/Arbitrary Order 4