
 Group Theory (Site not responding. Last check: 20071021) 
  When a group is in fact commutative  i.e., for all a and b in the group one has a#b = b#a  then it is said to be an Abelian group. 
  The number of elements of a finite group (G,#) is denoted by the symbol G, and is said to be the 
  The order of this group is 8  that is, G Consider the set H = {2, 2#2, 2#(2#2), 2#(2#(2#2)),......}, a subset of G. Doing the indicated computations show that H = {2, 4, 8, 1}, and one can check that indeed (H,#) is a subgroup of (G,#). 
 math.boisestate.edu /~marion/teaching/crypto2/group_theory.htm (970 words) 
