Question

Show that Z5×Z3 is cyclic group

Answer 1

\[ℤ_{m} * ℤ _{n}\] is a cyclic group iff GCD(m,n)=1 that is m and n are relatively prime.

Answer 2

so like a first step hope you know what mean ,,cyclic group"
and what are (mean) Z5 and Z3 ?

Answer 3

\(\mathbb Z_3\times\mathbb Z_5\) is isomorphic to \(C_{15}\)