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Abstract Algebra Problems

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In addition to the attached, from 3-37, the subgroup is the one generated by the 270 mapping.

3-37 In the octic group, find the cyclic subgroup generated by the 270 mapping. What is the order and index?

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The element 270 of the octic group corresponds to the rotation by 〖270〗^°, while the element 90 corresponds to the rotation by ...

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