Mirror map for Fermat polynomials with a nonabelian group of symmetries.

We study Landau–Ginzburg orbifolds with and , where and is either the maximal group of scalar symmetries of or the intersection of the maximal diagonal symmetries of with . We construct a mirror map between the corresponding phase spaces and prove that it is an isomorphism restricted to a certain subspace of the phase space when is a prime number. When satisfies the parity condition of Ebeling–Gusein-Zade, this subspace coincides with the full space. We also show that two phase spaces are isomorphic for . [ABSTRACT FROM AUTHOR]