(12pts) Let M be the number of your month of birth, and let r = M (mod 5).
a) Determine all the normal subgroups of the group G = D2(5+r).
b) For each normal subgroup N on your list, construct the quotient group G/N, and list all
the elements of the group.
c) Construct the multiplication table for the largest quotient group on your list not equal to
G. Determine which group it is (e.g., “it is isomorphic to D14”).
d) For each normal subgroup N on your list, construct the homomorphism . : G G/N, and
!
list the images of at least four elements of G.
2006-10-25
07:38:17
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8 answers
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asked by
abhinav4554
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Other - Education