Week 10 - Algebraic distance, definition

Given the graph α and its inverse, choose the CORRECT statement.

Image 1 - Cycle arrow notation from a) α and b) α^-1 (extracted from Kiltinen, 2003).

a. β = (2,4,5) is a cycle that divides both α and α^-1.
b. β = (4,2,1) is a cycle that divides α but not α^-1.
c. β = (1,3,5) is a cycle that divides α but not α^-1.
d. β = α^-1 is a cycle that divides α.
e. None of the above.

References: Kiltinen, John O. Oval Track And Other Permutation Puzzles: And Just Enough Group Theory To Solve Them. Washington, D.C.: Published and distributed by the Mathematical Association of America Press, 2003.

Original idea by: Raphael Cristofaro