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

被引：0

作者：

Santos, M ^{[1
]}

机构：

[1] Univ Granada, Fac Ciencias, Dept Geometria & Topol, E-18071 Granada, Spain

来源：

FUNDAMENTA MATHEMATICAE | 1999年 / 162卷 / 03期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

DI(4) is the only known example of an exotic a-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.

引用

页码：209 / 232

页数：24

共 20 条

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