Mark each of the following true or false. ___ a. Every cyclic group is abelian. ___ b.
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Mark each of the following true or false.
___ a. Every cyclic group is abelian.
___ b. Every abelian group is cyclic.
___ c. Q under addition is a cyclic group.
___ d. Every element of every cyclic group generates the group.
___ e. There is at least one abelian group of every finite order > 0.
___ f. Every group of order ≤ 4 is cyclic.
___ g. All generators of Z20 are prime numbers.
___ h. If G and G' are groups, then G ∩ G' is a group.
___ i. If H and K are subgroups of a group G then H ∩ K is a group.
___ j. Every cyclic group of order >2 has at least two distinct generators.
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True a Every cyclic group is abelian False b Every abelian ...View the full answer
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