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The order of groups satisfying a converse to Lagrange's theorem
Published online by Cambridge University Press: 26 February 2010
Abstract
One of the converse statements to Lagrange's theorem is that, for each subgroup H of G and any prime factor p of |G: H|, there exists a subgroup K such that H≤K≤G with |K: H | = p. This paper treats integers n such that all groups of order n have this property.
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- Copyright © University College London 2000
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