Q×Q is a non-cyclic group
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To every subgroup of Real numbers we can find a normal subgroup of GL2(R)
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Proof that Z x Z is not a cyclic group
10:38
Cyclic Groups, Generators, and Cyclic Subgroups | Abstract Algebra
4:06
S3 is not cyclic.
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External Direct Product of Groups Example: Is ℤ2 ⊕ ℤ2 a Cyclic Group?
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If a is a generator of a cyclic group G, then it’s inverse is also a generator.
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Every Subgroup of a Cyclic Group is Cyclic | Abstract Algebra
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