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Abstract
For each prime p, we determine the smallest integer n such that there exists a group of order pn in which the set of commutators does not form a subgroup. We show that n = 6 for any odd prime and n = 7 for p = 2.
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Published Online: 2005-11-18
Published in Print: 2005-07-20
Walter de Gruyter GmbH & Co. KG