Answered: (a) Compute the list of subgroups of…

(a) Compute the list of subgroups of the group Z/45Z and draw the lattice of subgroups. (prove that you really got all the subgroups) (b) How many subgroups does Z/2"Z have?

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter4: More On Groups

Section4.7: Direct Sums (optional)

Problem 12E

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Question

(a) Compute the list of subgroups of the group Z/45Z and draw the lattice of subgroups.
(prove that you really got all the subgroups)
(b) How many subgroups does Z/2"Z have?

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