Early work on group theory is associated with Augustin Cauchy and Evariste Galois in the nineteenth century, with Galois credited as the first to use the term group. This work was motivated by the problem of finding expressions for the solution of polynomials of degree 5 and higher. Galois used what are now called permutation groups as part of his work in proving that there are no expressions for the general case of finding roots for polynomials of degree greater than 4. Following this, groups found application in geometry, where symmetry groups involving transformations that leave an object unchanged (invariant) were studied.