Displaying similar documents to “On Waring's problem in finite fields”

Embedding lattices in the Kleene degrees

Hisato Muraki (1999)

Fundamenta Mathematicae

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Under ZFC+CH, we prove that some lattices whose cardinalities do not exceed ℵ 1 can be embedded in some local structures of Kleene degrees.

Brown–Peterson cohomology and Morava K-theory of DI(4) and its classifying space

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...