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  • cohomology of pro-fusion systems

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On the Cohomology of Pro-Fusion Systems

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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, 15.07.2022.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Harvard

Diaz Ramos, A, Garaialde Ocana, O, Mazza, N & Park, S 2022, 'On the Cohomology of Pro-Fusion Systems', Journal of Algebra and Its Applications. https://doi.org/10.1142/s0219498823502432

APA

Diaz Ramos, A., Garaialde Ocana, O., Mazza, N., & Park, S. (2022). On the Cohomology of Pro-Fusion Systems. Journal of Algebra and Its Applications. 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. 2022 Jul 15. Epub 2022 Jul 15. 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. 2022.

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 = "pro-fusion systems, cohomology, profinite groups, p-adic analytic groups",
author = "{Diaz Ramos}, Antonio and {Garaialde Ocana}, Oihana and Nadia Mazza and Sejong Park",
year = "2022",
month = jul,
day = "15",
doi = "10.1142/s0219498823502432",
language = "English",
journal = "Journal of Algebra and Its Applications",
issn = "0219-4988",
publisher = "World Scientific Publishing Co. Pte Ltd",

}

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 - 2022/7/15

Y1 - 2022/7/15

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 - pro-fusion systems

KW - cohomology

KW - profinite groups

KW - p-adic analytic groups

U2 - 10.1142/s0219498823502432

DO - 10.1142/s0219498823502432

M3 - Journal article

JO - Journal of Algebra and Its Applications

JF - Journal of Algebra and Its Applications

SN - 0219-4988

ER -