Geodesic
Cohomology of linking systems with twisted coefficients by a $p$-solvable action
Homology, homotopy, and applications, Tome 19 (2017) no. 2, pp. 61-82.

Voir la notice de l'article provenant de la source International Press of Boston

In this paper, we study the cohomology of the geometric realization of linking systems with twisted coefficients. More precisely, given a prime $p$ and a $p$-local finite group $(S,\mathcal{F},\mathcal{L})$, we compare the cohomology of $\mathcal{L}$ with twisted coefficients with the submodule of $\mathcal{F}^c$-stable elements in the cohomology of $S$. We start with the particular case of constrained fusion systems. Then, we study the case of $p$-solvable actions on the coefficients.
DOI : 10.4310/HHA.2017.v19.n2.a4
Classification : 20D20, 20J06, 20J15, 55R35, 55R40
Keywords: fusion system, $p$-local finite group, cohomology with twisted coefficients, group cohomology 
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     author = {R\'emi Molinier},
     title = {Cohomology of linking systems with twisted coefficients by a $p$-solvable action},
     journal = {Homology, homotopy, and applications},
     pages = {61--82},
     publisher = {mathdoc},
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     number = {2},
     year = {2017},
     doi = {10.4310/HHA.2017.v19.n2.a4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2017.v19.n2.a4/}
}
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Rémi Molinier. Cohomology of linking systems with twisted coefficients by a $p$-solvable action. Homology, homotopy, and applications, Tome 19 (2017) no. 2, pp. 61-82. doi : 10.4310/HHA.2017.v19.n2.a4. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2017.v19.n2.a4/

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