Zobrazeno 1 - 10
of 61
pro vyhledávání: '"Park, Sejong"'
We prove the Cartan-Eilenberg stable elements theorem and construct a Lyndon-Hochschild-Serre type spectral sequence for pro-fusion systems. As an application, we determine the continuous mod-$p$ cohomology ring of $\text{GL}_2(\mathbb{Z}_p)$ for any
Externí odkaz:
http://arxiv.org/abs/2003.01626
Autor:
Park, Sejong
We show that every (not necessarily saturated) fusion system can be realized as a full subcategory of the fusion system of a finite group. This result extends our previous work \cite{Park2010} and complements the related result \cite{LearyStancu2007}
Externí odkaz:
http://arxiv.org/abs/1508.05667
Autor:
Park, Sejong
We investigate the weighted fusion category algebra *(b) of a block b of a finite group, which is defined by Markus Linckelmann based on the fusion system of the block b to reformulate Alperin’s weight conjecture. We present the definition and fund
Externí odkaz:
http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.446250
Autor:
Díaz, Antonio, Park, Sejong
We extend Dwyer's sharp subgroup homology decomposition of the classifying space of a finite group to arbitrary saturated fusion systems and arbitrary Mackey functors.
Comment: The proof of the main result (Theorem 1.3) is not complete as there
Comment: The proof of the main result (Theorem 1.3) is not complete as there
Externí odkaz:
http://arxiv.org/abs/1412.0378
Autor:
Park, Sejong
We state and prove a fusion system version of Mislin's theorem \cite{Mislin1990} on cohomology and control of fusion, following Symonds's proof \cite{Symonds2004} of Mislin's theorem using Mackey functors.
Comment: 6 pages. An earlier claim to a
Comment: 6 pages. An earlier claim to a
Externí odkaz:
http://arxiv.org/abs/1401.0208
Autor:
Park, Sejong
We give another proof of an observation of Th\'evenaz \cite{T1989} and present a fusion system version of it. Namely, for a saturated fusion system $\CF$ on a finite $p$-group $S$, we show that the number of the $\CF$-conjugacy classes of cyclic subg
Externí odkaz:
http://arxiv.org/abs/1307.2527
Autor:
Díaz, Antonio, Park, Sejong
We develop the fundamentals of Mackey functors in the setup of fusion systems including an acyclicity condition as well as a parametrization and an explicit description of simple Mackey functors. Using this machinery we extend Dwyer's sharpness resul
Externí odkaz:
http://arxiv.org/abs/1211.3557
Autor:
Lynd, Justin, Park, Sejong
Publikováno v:
J. Algebra 324 (2010), no. 12, 3487-3493
We extend the results of David Goldschmidt's thesis concerning fusion in finite groups to saturated fusion systems and to all primes.
Comment: 7 pages
Comment: 7 pages
Externí odkaz:
http://arxiv.org/abs/1112.1389
We say that a fusion system is the composition product of two subsystems if every morphism can be factored as a morphism in one fusion system followed by a morphism in the other. We establish a relationship between the characteristic idempotent of a
Externí odkaz:
http://arxiv.org/abs/1102.5280
Autor:
Park, Sejong
Continuing our previous work, we determine a minimal left characteristic biset $X$ for every exotic fusion system $\mathcal{F}$ on the extraspecial group $S$ of order $7^3$ and exponent $7$ discovered by Ruiz and Viruel, and analyze the finite group
Externí odkaz:
http://arxiv.org/abs/1011.4505