Abstract Algebra: Theory and Applications · Problem 10

Permutation Groups — Thomas Judson

Mathematics — Abstract Algebra · cyclic-groups-finite-order

Problem

Find all elements of finite order in each of the following groups. Here the ``

*

'' indicates the set with zero removed. ((a))

\mathbb{Z}

((b))

\mathbb{Q}^*

((c))

\mathbb{R}^*

Hint. (a) 0; (b) 1,

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