Let Zn be the integers mod n under modular addition. a) What is |Z14|? (Remember what |Ss| means when S is a set!) b) Show that Z14 is cyclic. c) Find all generators of Z14 (see Definition 15.5.5)

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Definition 15.5.5. If a group G contains some element a such that G = <a>
then G is a cyclic group. In this case a is a generator of G

Let Zn be the integers mod n under modular addition.
a) What is |Z14|? (Remember what |S| means when S is a set!)
b) Show that Z14 is cyclic.
c) Find all generators of Z14 (see Definition 15.5.5)
Transcribed Image Text:Let Zn be the integers mod n under modular addition. a) What is |Z14|? (Remember what |S| means when S is a set!) b) Show that Z14 is cyclic. c) Find all generators of Z14 (see Definition 15.5.5)
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