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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6310 • Algebra

Spring 2010 • Question 2

Question

Math 6310 • Algebra Spring 2010 • Question 2

Let \(G\) be a finite \(p\)-group, with \(|G|>p\). Prove that the order of \(\operatorname {Aut}(G)\) is divisible by \(p\).

Raw LaTeX

Let \(G\) be a finite \(p\)-group, with \(|G|>p\). Prove that the order of \(\operatorname{Aut}(G)\) is
divisible by \(p\).

Topic Tags

Finite Group Theory p-Groups