homomorphism

1 free lesson tagged homomorphism across Math. Each one is a short sequence of focused steps with narration and a five-question quiz at the end — take them in any order, no signup required.

Math

intermediate

Subgroups, Cosets, and Lagrange's Theorem

Cosets cut a group into equal-sized blocks, and one counting argument then forces every subgroup's size to divide the group's. This lesson proves that, derives Fermat's little theorem from it as a corollary, and introduces the maps that let you compare two groups and say precisely when they are the same object.

10 steps·~15 min

Subgroups, Cosets, and Lagrange's Theorem

Related topics