Suppose a finite group \(G\ne \{e\}\) has \(c\) conjugacy classes. Prove that \(G\) contains an element other than the identity of order at most \(c\).
Question
Math 6310 • Algebra
Summer 2017 • Question 4
Question
Summer 2017 • Question 4
Suppose a finite group \(G\ne \{e\}\) has \(c\) conjugacy classes. Prove that \(G\) contains an element other than the identity of order at most \(c\).