The classification of 2-compact groups
K Andersen, J Grodal - Journal of the American Mathematical Society, 2009 - ams.org
We prove that any connected $2 $–compact group is classified by its $2 $–adic root datum,
and in particular the exotic $2 $–compact group $\operatorname {DI}(4) $, constructed by …
and in particular the exotic $2 $–compact group $\operatorname {DI}(4) $, constructed by …
The Classification of -compact Groups and Homotopical Group Theory
J Grodal - Proceedings of the International Congress of …, 2010 - World Scientific
We survey some recent advances in the homotopy theory of classifying spaces, and
homotopical group theory. We focus on the classification of p-compact groups in terms of …
homotopical group theory. We focus on the classification of p-compact groups in terms of …
String topology of finite groups of lie type
J Grodal, A Lahtinen - arXiv preprint arXiv:2003.07852, 2020 - arxiv.org
We show that the mod $\ell $ cohomology of any finite group of Lie type in characteristic $ p
$ different from $\ell $ admits the structure of a module over the mod $\ell $ cohomology of …
$ different from $\ell $ admits the structure of a module over the mod $\ell $ cohomology of …
[PDF][PDF] Homotopy theory and classifying spaces
WG Dwyer - Minicourse taught at the University of Copenhagen, 2008 - ncatlab.org
What is a homotopy theory T?–Examples of homotopy theories (Tpair presentation)–The
homotopy category Ho (T)–Examples of homotopy categories–Model category:(C, E) with …
homotopy category Ho (T)–Examples of homotopy categories–Model category:(C, E) with …
[PDF][PDF] LA CLASSIFICATION DES GROUPES p-COMPACTS
B OLIVER - Séminaire BOURBAKI, 2010 - math.univ-paris13.fr
Un espace de lacets finis est un complexe cellulaire X fini auquel on peut associer un
«classifiant» BX: un espace topologique dont l'espace de lacets Ω (BX) a le type …
«classifiant» BX: un espace topologique dont l'espace de lacets Ω (BX) a le type …