Binary operations

A binary operation combines two elements into one in a specified set.

Different ways to understand it

No reviewed video yet. Explore the concept in a map or suggest a resource. Suggest a video

Bijections
A bijection is both injective and surjective and has a two-sided inverse.
Groups
A group has an associative operation, an identity and an inverse for every element.
Rings
A ring supports addition and multiplication linked by distributive laws.
Sylow theorems
For finite groups, Sylow theorems constrain existence, conjugacy and number of maximal prime-power subgroups.
Cosets and Lagrange's theorem
Cosets partition a finite group, so a subgroup's order divides the group's order.