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## Fundamenta Mathematicae

1999 | 162 | 3 | 209-232
Tytuł artykułu

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

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EN
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EN
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 concentrated in even degrees.
Słowa kluczowe
Kategorie tematyczne
Czasopismo
Rocznik
Tom
Numer
Strony
209-232
Opis fizyczny
Daty
wydano
1999
otrzymano
1999-05-12
poprawiono
1999-08-18
Twórcy
autor
Bibliografia
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