MAT-3110 Final: MATH 3110 App State Fall2009 Final Exam
Document Summary
The last page is a copy of cayley tables for d4 and q. /12 points) for each of the following pairs of groups, if the groups are isomorphic, circle. G1 = g2 and explain why they are ismorphic. If the groups aren"t isomorphic, circle g1 6 = g2 and explain why not. /12 points) sub-things (a) let g be a group. Show s is a subring of r. (c) let t = {m + n 5| m, n z and m is even}. Show t is a subgroup of r (under addition of course) and then give a concrete counter-example which shows why t is not a subring of r. If 3 is a unit, nd its inverse. If 20 is a unit, nd its inverse. [that is: how many x z50 are there such that (x) = hxi = z50?] /15 points) the set i = (4) = {0, 4, 8, 12, 16} is an ideal of z20.
