5. Consider the "clock arithmetic" group (Z15,0) a) Using Lagrange's Theorem, state all possible orders for subgroups of this group. b) List all of the subgroups of (Z15,0)

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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5. Consider the "clock arithmetic"
group (Z15,0)
a) Using Lagrange's Theorem, state all possible orders for subgroups of this group.
b) List all of the subgroups of (Z,, O)
157
Transcribed Image Text:5. Consider the "clock arithmetic" group (Z15,0) a) Using Lagrange's Theorem, state all possible orders for subgroups of this group. b) List all of the subgroups of (Z,, O) 157
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