Hatcher-Topology-of-Numbers · Problem 7.3.2

The Class Group for Quadratic Forms

Mathematics — Algebraic Topology · element-of-prime-order-in-abelian-group

Problem

Show that if a prime

p

divides the order of a finite abelian group

G

then

G

contains an element of order

p

. For which nonprimes is this also true?