On the set of natural numbers which only yield orders of Abelian groups |
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| Authors: | Richard Warlimont |
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| Institution: | Fachbereich Mathematik, Universität Regensburg, 8400 Regensburg, Universitätstrasse Il, West Germany |
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| Abstract: | Let A denote the set of all natural numbers n such that every group of order n is Abelian. Let C denote the set of all natural numbers n such that every group of order n is cyclic. We prove that Σn ≤ x,n?A?C1 has roughly the order of magnitude x(log log x)?1. |
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