Show that a free group \(F\) is torsion-free; that is, that if \(g\ne 1\) is an element of \(F\), then \(g^n\ne 1\) for all \(n\ge 1\).
Question
Math 6310 • Algebra
Fall 1999 • Question 10
Question
Fall 1999 • Question 10
Show that a free group \(F\) is torsion-free; that is, that if \(g\ne 1\) is an element of \(F\), then \(g^n\ne 1\) for all \(n\ge 1\).