Zobrazeno 1 - 10
of 49
pro vyhledávání: '"Broto, Carles"'
For a prime $p$, fusion systems over discrete $p$-toral groups are categories that model and generalize the $p$-local structure of Lie groups and certain other infinite groups in the same way that fusion systems over finite $p$-groups model and gener
Externí odkaz:
http://arxiv.org/abs/2409.09703
Autor:
Broto, Carles, Gonzalez, Alex
Partial groups are a natural generalization of discrete groups recently introduced by Chermak in connection with the theory of fusion systems. In this paper we develop an extension theory for partial groups based in the classical theory of fibre bund
Externí odkaz:
http://arxiv.org/abs/2105.03457
A saturated fusion system over a finite $p$-group $S$ is a category whose objects are the subgroups of $S$ and whose morphisms are injective homomorphisms between the subgroups satisfying certain axioms. A fusion system over $S$ is realized by a fini
Externí odkaz:
http://arxiv.org/abs/2102.08278
Publikováno v:
Ann. K-Th. 6 (2021) 425-480
In a 2009 paper, Dave Benson gave a description in purely algebraic terms of the mod $p$ homology of $\Omega(BG^\wedge_p)$, when $G$ is a finite group, $BG^\wedge_p$ is the $p$-completion of its classifying space, and $\Omega(BG^\wedge_p)$ is the loo
Externí odkaz:
http://arxiv.org/abs/1807.02353
We formulate the concept of minimal fibration in the context of fibrations in the model category $\mathbf{S}^\mathcal{C}$ of $\mathcal{C}$-diagrams of simplicial sets, for a small index category $\mathcal{C}$. When $\mathcal{C}$ is an $EI$-category s
Externí odkaz:
http://arxiv.org/abs/1804.06354
For a finite group G of Lie type and a prime p, we compare the automorphism groups of the fusion and linking systems of G at p with the automorphism group of G itself. When p is the defining characteristic of G, they are all isomorphic, with a very s
Externí odkaz:
http://arxiv.org/abs/1601.04566
Publikováno v:
Algebr. Geom. Topol. 14 (2014) 2915-2982
The theory of p-local compact groups, developed in an earlier paper by the same authors, is designed to give a unified framework in which to study the p-local homotopy theory of classifying spaces of compact Lie groups and p-compact groups, as well a
Externí odkaz:
http://arxiv.org/abs/1212.2033
Autor:
Broto, Carles, Hung, Nguyen H V, Kuhn, Nicholas J, Palmieri, John H, Priddy, Stewart, Yagita, Nobuaki
Publikováno v:
Geom. Topol. Monogr. 11 (2007) 435-441
This article contains a collection of problems contributed during the course of the conference.
Comment: This is the version published by Geometry & Topology Monographs on 14 November 2007
Comment: This is the version published by Geometry & Topology Monographs on 14 November 2007
Externí odkaz:
http://arxiv.org/abs/0903.5034
Autor:
Broto, Carles
Publikováno v:
Geom. Topol. Monogr. 11 (2007) 1-16
Attributed to J F Adams is the conjecture that, at odd primes, the mod-p cohomology ring of the classifying space of a connected compact Lie group is detected by its elementary abelian p-subgroups. In this note we rely on Toda's calculation of H^*(BF
Externí odkaz:
http://arxiv.org/abs/0903.4865