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On The Number of Groups of Squarefree Order
Published online by Cambridge University Press: 20 November 2018
Abstract
Let G(n) denote the number of non-isomorphic groups of order n. We prove that for squarefree integers n, there is a constant A such that
where denotes the Euler function. This upper bound is essentially best possible, apart from the constant A.
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- Copyright © Canadian Mathematical Society 1987
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