Spaces with Noetherian cohomology

Kasper Andersen; Natàlia Castellana; Vincent Franjou; Alain Jeanneret; Jérôme Scherer

doi:10.1017/S0013091512000193

Spaces with Noetherian cohomology

Kasper Andersen, Natàlia Castellana, Vincent Franjou, Alain Jeanneret, Jérôme Scherer

Mathematics (Faculty of Engineering)

Research output: Contribution to journal › Article › peer-review

Abstract

Is the cohomology of the classifying space of a p-compact group, with Noetherian twisted coefficients, a Noetherian module? In this paper we provide, over the ring of p-adic integers, such a generalization to p-compact groups of the Evens-Venkov theorem. We consider the cohomology of a space with coefficients in a module, and we compare Noetherianity over the p-adic integers, in the case when the fundamental group is a finite p-group.

Original language	English
Pages (from-to)	13-25
Journal	Proceedings of the Edinburgh Mathematical Society
Volume	56
Issue number	1
DOIs	https://doi.org/10.1017/S0013091512000193
Publication status	Published - 2013

Subject classification (UKÄ)

Mathematics

Free keywords

Noetherian
cohomology
universal coefficients
classifying space
p-compact groups
p-local finite groups

Access to Document

10.1017/S0013091512000193

http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=8801555

Cite this

@article{0d855feba2f24344acbfcb3b25b013f7,

title = "Spaces with Noetherian cohomology",

abstract = "Is the cohomology of the classifying space of a p-compact group, with Noetherian twisted coefficients, a Noetherian module? In this paper we provide, over the ring of p-adic integers, such a generalization to p-compact groups of the Evens-Venkov theorem. We consider the cohomology of a space with coefficients in a module, and we compare Noetherianity over the p-adic integers, in the case when the fundamental group is a finite p-group.",

keywords = "Noetherian, cohomology, universal coefficients, classifying space, p-compact groups, p-local finite groups",

author = "Kasper Andersen and Nat{\`a}lia Castellana and Vincent Franjou and Alain Jeanneret and J{\'e}r{\^o}me Scherer",

year = "2013",

doi = "10.1017/S0013091512000193",

language = "English",

volume = "56",

pages = "13--25",

journal = "Proceedings of the Edinburgh Mathematical Society",

issn = "1464-3839",

publisher = "Cambridge University Press",

number = "1",

}

TY - JOUR

T1 - Spaces with Noetherian cohomology

AU - Andersen, Kasper

AU - Castellana, Natàlia

AU - Franjou, Vincent

AU - Jeanneret, Alain

AU - Scherer, Jérôme

PY - 2013

Y1 - 2013

N2 - Is the cohomology of the classifying space of a p-compact group, with Noetherian twisted coefficients, a Noetherian module? In this paper we provide, over the ring of p-adic integers, such a generalization to p-compact groups of the Evens-Venkov theorem. We consider the cohomology of a space with coefficients in a module, and we compare Noetherianity over the p-adic integers, in the case when the fundamental group is a finite p-group.

AB - Is the cohomology of the classifying space of a p-compact group, with Noetherian twisted coefficients, a Noetherian module? In this paper we provide, over the ring of p-adic integers, such a generalization to p-compact groups of the Evens-Venkov theorem. We consider the cohomology of a space with coefficients in a module, and we compare Noetherianity over the p-adic integers, in the case when the fundamental group is a finite p-group.

KW - Noetherian

KW - cohomology

KW - universal coefficients

KW - classifying space

KW - p-compact groups

KW - p-local finite groups

U2 - 10.1017/S0013091512000193

DO - 10.1017/S0013091512000193

M3 - Article

SN - 1464-3839

VL - 56

SP - 13

EP - 25

JO - Proceedings of the Edinburgh Mathematical Society

JF - Proceedings of the Edinburgh Mathematical Society

IS - 1

ER -

Spaces with Noetherian cohomology

Abstract

Subject classification (UKÄ)

Free keywords

Access to Document

Fingerprint

Cite this