Abstract Algebra: Theory and Applications · Problem 15.4.17

Rings — Thomas Judson

Mathematics — Abstract Algebra · sylow-theorems

Problem

Show that every group of order 255 is cyclic. Hint. If

G

is abelian, then

G

is cyclic, since

|G| = 3 \cdot 5 \cdot 17

. Now look at Example 15.2.6.