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Title: On the 2-compact group DI(4)
Authors: Notbohm, D.
First Published: 2003
Publisher: Walter de Gruyter
Citation: Journal für die reine und angewandte Mathematik, 2003, 555, pp.163-185
Abstract: Besides the simple connected compact Lie groups there exists one further simple connected 2-compact group, constructed by Dwyer and Wilkerson, the group DI(4). The mod-2 cohomology of the associated classifying space BDI(4) realizes the rank 4 mod-2 Dickson invariants. We show that mod-2 cohomology determines the homotopy type of the space BDI(4) and that the maximal torus normalizer determines the isomorphism type of DI(4) as 2-compact group. We also calculate the set of homotopy classes of self maps of BDI(4).
DOI Link: 10.1515/crll.2003.010
ISSN: 0075-4102
eISSN: 1435-5345
Version: Publisher version
Status: Peer reviewed
Type: Article
Rights: Copyright © 2003 Walter de Gruyter. Deposited with reference to the publisher's archiving policy available on the SHERPA/RoMEO website.
Appears in Collections:Published Articles, Dept. of Mathematics

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