Applications of a lower bound for linear forms in two logarithms to exponential Diophantine equations
Nobuhiro Terai (1999)
Acta Arithmetica
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Nobuhiro Terai (1999)
Acta Arithmetica
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Todd Cochrane, Zhiyong Zheng (1999)
Acta Arithmetica
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Stephen Cohen (2000)
Acta Arithmetica
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Christopher Hooley (1997)
Acta Arithmetica
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Rudolf Ahlswede, Levon H. Khachatrian (1994)
Acta Arithmetica
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Marta Santos (1999)
Fundamenta Mathematicae
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DI(4) is the only known example of an exotic 2-compact group, and is conjectured to be the only one. In this work, we study generalized cohomology theories for DI(4) and its classifying space. Specifically, we compute the Morava K-theories, and the P(n)-cohomology of DI(4). We use the non-commutativity of the spectrum P(n) at p=2 to prove the non-homotopy nilpotency of DI(4). Concerning the classifying space, we prove that the BP-cohomology and the Morava K-theories of BDI(4) are all...
Jürgen Ritter, Alfred Weiss (1999)
Acta Arithmetica
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