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Reading Questions 3.4 Reading Questions
1.
In the group \(\mathbb Z_8\) compute, (a) \(6+7\text{,}\) and (b) \(2^{-1}\text{.}\)
2.
In the group \(U(16)\) compute, (a) \(5\cdot 7\text{,}\) and (b) \(3^{-1}\text{.}\)
3.
State the definition of a group.
4.
Explain a single method that will decide if a subset of a group is itself a subgroup.
5.
Explain the origin of the term “abelian” for a commutative group.
6.
Give an example of a group you have seen in your previous mathematical experience, but that is not an example in this chapter.
