Spaces with Noetherian cohomology
Andersen, Kasper LU
; Castellana, Natàlia
; Franjou, Vincent
; Jeanneret, Alain
and Scherer, Jérôme
(2013)
In Proceedings of the Edinburgh Mathematical Society
56(1).
p.13-25
- 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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/3412497
- author
- Andersen, Kasper
LU
; Castellana, Natàlia
; Franjou, Vincent
; Jeanneret, Alain
and Scherer, Jérôme
- organization
- publishing date
- 2013
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Noetherian, cohomology, universal coefficients, classifying space, p-compact groups, p-local finite groups
- in
- Proceedings of the Edinburgh Mathematical Society
- volume
- 56
- issue
- 1
- pages
- 13 - 25
- publisher
- Cambridge University Press
- external identifiers
-
- wos:000313006500002
- scopus:84893048755
- ISSN
- 1464-3839
- DOI
- 10.1017/S0013091512000193
- language
- English
- LU publication?
- yes
- id
- 0d855feb-a2f2-4344-acbf-cb3b25b013f7 (old id 3412497)
- alternative location
- http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=8801555
- date added to LUP
- 2016-04-01 10:10:40
- date last changed
- 2022-01-25 20:31:26
@article{0d855feb-a2f2-4344-acbf-cb3b25b013f7,
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.}},
author = {{Andersen, Kasper and Castellana, Natàlia and Franjou, Vincent and Jeanneret, Alain and Scherer, Jérôme}},
issn = {{1464-3839}},
keywords = {{Noetherian; cohomology; universal coefficients; classifying space; p-compact groups; p-local finite groups}},
language = {{eng}},
number = {{1}},
pages = {{13--25}},
publisher = {{Cambridge University Press}},
series = {{Proceedings of the Edinburgh Mathematical Society}},
title = {{Spaces with Noetherian cohomology}},
url = {{http://dx.doi.org/10.1017/S0013091512000193}},
doi = {{10.1017/S0013091512000193}},
volume = {{56}},
year = {{2013}},
}