i wrote
B) What is the least commutative element (the anticentre?) of
the cube group?i'll guess
corners: (1)(7) edges: (1)(11) corners: (1+)(7-) edges: (1)(11) corners: (1-)(7+) edges: (1)(11) corners: (1)(7) edges: (1+)(11+) corners: (1+)(7-) edges: (1+)(11+) corners: (1-)(7+) edges: (1+)(11+)
after thinking about it, i realized that
corners: (8) edges: (12)
commutes with even fewer elements. again, elements with
this cycle structure split into two conjugacy classes.
mike