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  • cohomology of pro-fusion systems

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On the Cohomology of Pro-Fusion Systems

Research output: Contribution to Journal/Magazine › Journal article › peer-review

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On the Cohomology of Pro-Fusion Systems. / Diaz Ramos, Antonio; Garaialde Ocana, Oihana; Mazza, Nadia et al.
In: Journal of Algebra and Its Applications, Vol. 22, No. 11, 2350243, 30.11.2023.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Diaz Ramos, A, Garaialde Ocana, O, Mazza, N & Park, S 2023, 'On the Cohomology of Pro-Fusion Systems', Journal of Algebra and Its Applications, vol. 22, no. 11, 2350243. https://doi.org/10.1142/s0219498823502432

APA

Diaz Ramos, A., Garaialde Ocana, O., Mazza, N., & Park, S. (2023). On the Cohomology of Pro-Fusion Systems. Journal of Algebra and Its Applications, 22(11), Article 2350243. https://doi.org/10.1142/s0219498823502432

Vancouver

Diaz Ramos A, Garaialde Ocana O, Mazza N, Park S. On the Cohomology of Pro-Fusion Systems. Journal of Algebra and Its Applications. 2023 Nov 30;22(11):2350243. Epub 2022 Sept 12. doi: 10.1142/s0219498823502432

Author

Diaz Ramos, Antonio ; Garaialde Ocana, Oihana ; Mazza, Nadia et al. / On the Cohomology of Pro-Fusion Systems. In: Journal of Algebra and Its Applications. 2023 ; Vol. 22, No. 11.

Bibtex

@article{5af9f0f0b4744a97b68ad3680d7e30d8,
title = "On the Cohomology of Pro-Fusion Systems",
abstract = "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.",
keywords = "Profinite groups, cohomology, p -adic analytic groups, pro-fusion systems",
author = "{Diaz Ramos}, Antonio and {Garaialde Ocana}, Oihana and Nadia Mazza and Sejong Park",
year = "2023",
month = nov,
day = "30",
doi = "10.1142/s0219498823502432",
language = "English",
volume = "22",
journal = "Journal of Algebra and Its Applications",
issn = "0219-4988",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "11",

}

RIS

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 -