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Find all subgroups of order 3 in Z9 Z3.

Chapter 8, Problem 29E

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QUESTION:

Find all subgroups of order 3 in \(Z_{9} \oplus Z_{3}\).

Questions & Answers

QUESTION:

Find all subgroups of order 3 in \(Z_{9} \oplus Z_{3}\).

ANSWER:

Step 1 of 3

We know that every group of prime order is cyclic (Every element of a group of prime order generates the group using the group operation. A group that has a generator (of the whole group elements) is called cyclic.).

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