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An Obstruction Group

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Catalan's Conjecture

Part of the book series: Universitext ((UTX))

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Abstract

Nonzero solutions to Catalan’s equation \(x^p-y^q=1\) naturally give rise to elements in certain obstruction groups. Mihăilescu’s theorems can be viewed as results about the size of the submodules generated by these elements. In this section, we introduce the notions and notations that are used in the remaining sections.

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Correspondence to René Schoof .

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© 2008 Springer-Verlag London Limited

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Schoof, R. (2008). An Obstruction Group. In: Catalan's Conjecture. Universitext. Springer, London. https://doi.org/10.1007/978-1-84800-185-5_7

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