Group Theory and the Verhoeff Check Digit Scheme

Group Theory and the Verhoeff Check Digit Scheme... 

The discussion in Chapter 4 is focused on symmetry and rigid motions. The notation e.stabli.shed in Chapter 3 for permutations is used in a mathematical investigation of the symmetries of a variety of different shapes. The symmetries of a pentagon form the basts of the very reliable Verhoeff check digit scheme presented in Chapter 5. Furthermore, the use of rigid motions to create elaborate patterns will serve as an introduction to the discussion of group theory that begins Chapter 5. 

---