Permutation groups

group of bijective automorphisms of a set, also called bijective group: the group of bijections on a set (the group of all its permutations), whose group operation is function composition

group of even-parity permutations

graph whose vertices and edges represent the elements of a group and their products with the generators of the group

group whose operation is composition of permutations

operation on two groups in group theory

mathematical group consisting of the moves possible in the Rubik's Cube mechanical puzzle

transitive permutation group with restrictions on fixed point behavior

a mathematical structure that describes the symmetries of the number line and the regular triangular tesselation of the plane, as well as related higher dimensional objects