Évariste Galois

The concept of a normal subgroup is crucial for understanding the solvability of groups.

A group is solvable if it has a subnormal series with abelian factor groups.

The theory of groups provides a unified framework for studying various algebraic structures.

The beauty of mathematics lies in its ability to reveal hidden symmetries and structures.

The pursuit of mathematical truth is a noble endeavor, even if it leads to an early grave.

My life is a tragedy, but my work will live on.

The future of mathematics belongs to those who dare to challenge established ideas.

I have sown the seeds; others will reap the harvest.

The true measure of a mathematician is not in the quantity of their work, but in its depth and originality.

May my ideas inspire future generations to push the boundaries of knowledge.

Ah! I am not understood. I am not understood.

I have no time.

You will publicly beg Jacobi or Gauss to give their opinion, not on the truth, but on the importance of these theorems. After this, there will be people who will, I hope, find it profitable to decipher all this mess.

My dear friend, I have made some new discoveries in the theory of equations. The first concerns the solvability of equations by radicals.

I have no time to write out this theory, and I have no one to help me.

I beg you to preserve this letter. It contains the most important things I have found.

I die a victim of an infamous coquette.

I have been deceived.

Remember that I have been killed in a duel.

I embrace you with all my heart.