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Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - On the Cohomology of Pro-Fusion Systems
AU - Diaz Ramos, Antonio
AU - Garaialde Ocana, Oihana
AU - Mazza, Nadia
AU - Park, Sejong
PY - 2023/11/30
Y1 - 2023/11/30
N2 - 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 GL2(ℤp) for any odd prime p.
AB - 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 GL2(ℤp) for any odd prime p.
KW - Profinite groups
KW - cohomology
KW - p -adic analytic groups
KW - pro-fusion systems
U2 - 10.1142/s0219498823502432
DO - 10.1142/s0219498823502432
M3 - Journal article
VL - 22
JO - Journal of Algebra and Its Applications
JF - Journal of Algebra and Its Applications
SN - 0219-4988
IS - 11
M1 - 2350243
ER -