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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6320 • Algebra II

Fall 2024 • Question 2

Question

Math 6320 • Algebra II Fall 2024 • Question 2

Prove that if \(p\) is prime, then each group with \(p^d\) elements has a non-trivial center.

Raw LaTeX

Prove that if \(p\) is prime, then each group with \(p^d\) elements has a non-trivial
center.

Topic Tags

Normal Subgroups and Commutator Subgroups