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Miklós Schweitzer 1986, Problem 5

Source:

September 12, 2016
Miklos Schweitzercollege contestsgroup theoryabstract algebra

Problem Statement

Prove that existence of a constant cc with the following property: for every composite integer nn, there exists a group whose order is divisible by nn and is less than ncn^c, and that contains no element of order nn. [P. P. Palfy]