How many subgroups does Z/60Z have?
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A: Since 0 does not divides 12.
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A: Since a has infinite order, the same holds for a 3 since if it would have order n < ∞, then 1 =…
Q: If H and K are subgroups of G, |H|= 18 and |K|=30 then a possible value of |HNK| is
A: It s given that H and K are subgroups of G, H=18 and K=30. Since H, K are subgroups, H∩K≤H and…
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Q: How many Sylow 5-subgroups of S5 are there? Exhibit two.
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Q: How many subgroups does z/60z have? Find all generators of the subgroups of z/60z and there…
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Q: Find all generators of the subgroup of Z/60Z with order 12.
A: Generators of the group
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Q: If H and K are subgroups of G. IH|- 20 and IK-32 then a possible value of HNK| is 16 8.
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Q: Q/ How many non-trivial subgroups in s, ?
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Q: If H and K are subgroups of G, |H|= 16 and |K|=28 then a possible value of |HNK| is
A: It is given that H and K are subgroups of G and H=16, K=28. Since H and K are subgroups of G, H∩K≤H…
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Q: How many Sylow 3-subgroups of S5 are there? Exhibit five
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Q: Construct the distinct left cosets of the subgroup {(1), (1,3,2), (1,2,3)} in S3.
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Q: a) How many subgroups does (Z10,O) have? What are they? b) How many subgroups does (Z74,Ð) have?…
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How many subgroups does Z/60Z have?
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