Core Algorithms
Group Theory Algorithms

Mathematica 8 adds new functions and algorithms to work with permutations and permutation groups. This provides, for the first time in Mathematica, systematic access to the vast variety of groups that can be efficiently constructed by multiplication of a set of permutations.

Support for permutations in disjoint cyclic notation.

Support for groups generated by sets of permutations. Pre-stored generators for infinite families of groups and sporadic groups.

Visualization of groups as multiplication tables or Cayley graphs.

Computation of orbits, stabilizers, centralizers, coset representatives, etc.

.