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Give an example of a nonabelian group of order 1190.SolutionTh.pdf

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Give an example of a nonabelian group of order 1190. Solution The generalized quaternion groups, denoted Q4n for n?2, naturally extend the group presentation of Q8 to higher orders. The important thing about generalized quaternion groups is that they have a unique element of order 2, whereas all other p-groups with unique elements of order p are cyclic..

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Give an example of a nonabelian group of order 1190. Solution The generalized quaternion groups, denoted Q4n for n?2, naturally extend the group presentation of Q8 to higher orders. The important thing about generalized quaternion groups is that they have a unique element of order 2, whereas all other p-groups with unique elements of order p are cyclic.

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  • 1. Give an example of a nonabelian group of order 1190. Solution The generalized quaternion groups, denoted Q4n for n?2, naturally extend the group presentation of Q8 to higher orders. The important thing about generalized quaternion groups is that they have a unique element of order 2, whereas all other p-groups with unique elements of order p are cyclic.