Évariste Galois

The problem of the solvability of equations by radicals reduces to the problem of finding a group of permutations.

A group is a collection of substitutions which has the property that if one takes any two of these substitutions, the product of these two substitutions is also one of these substitutions.

The order of a group is the number of its elements.

If a group has a normal subgroup, then the quotient group can be formed.

The solvability of an equation by radicals depends on the structure of its Galois group.

I ask you to publish this publicly: I have been provoked and I must die.

I die a victim of an infamous coquette and her two cousins.

Remember that I am a republican.

I have no time to write out these proofs clearly. I have no time to develop my ideas.

I have exhausted myself in fruitless efforts to make myself understood by people who have not understood me.

The public will judge, I hope, what I have done.

I have been condemned to prison for having toasted Louis-Philippe.

The theory of groups is a vast field, and I have only scratched the surface.

My life has been a series of misfortunes.

I have been misunderstood by my professors and by the scientific community.

The future will decide the value of my work.

I have found a way to determine whether an equation is solvable by radicals or not.

I have been denied admission to the École Polytechnique twice.

My ideas are too advanced for my time.

I have sacrificed my life for the truth.