Topology of Numbers · Problem 7.3.7

The Class Group for Quadratic Forms — Allen Hatcher

Mathematics — Number Theory · cayley-graphs-zn-star

Problem

Describe each of the following groups

\mathbb{Z}_n^*

as a product of cyclic groups and draw a Cayley graph:

\mathbb{Z}_{10}^*

\mathbb{Z}_{13}^*

\mathbb{Z}_{15}^*

\mathbb{Z}_{24}^*

, and

\mathbb{Z}_{60}^*