Is U5 a group with respect to ×5 ? Explain
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A: 9. b. even10. c. reflected in the x-axis and translated upwards
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- In an abstract algebra equation about groups, is "taking the inverse of both sides of an equation" an acceptable operation? I know you can right/left multiply equations by elements of the group, but was wondering if one can just take the inverse of both sides?What is the relationship between the order of a group and the order of its elements in abstract algebra?Which answer is correct?
- In point group D2d, for each of the irreducible representations, verify that the sum of the squares of the characters equals the order of the group.Math . Is it possible to find a group operation ⊕ on a set with 0 elements? With 1 element? Explain why or why not!What is the order of the group ℤ10 x ℤ15 x U(10) /〈(9, 10, 7)〉?
