Stratification and π-cosupport

finite groups

Dave Benson, Srikanth B. Iyengar, Henning Krause, Julia Pevtsova

Research output: Contribution to journalArticle

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Abstract

We introduce the notion of ππ -cosupport as a new tool for the stable module category of a finite group scheme. In the case of a finite group, we use this to give a new proof of the classification of tensor ideal localising subcategories. In a sequel to this paper, we carry out the corresponding classification for finite group schemes.
Original languageEnglish
Pages (from-to)947-965
Number of pages19
JournalMathematische Zeitschrift
Volume287
Issue number3-4
Early online date23 Feb 2017
DOIs
Publication statusPublished - Dec 2017

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Stratification
Finite Group
Group Scheme
Tensor
Module

Keywords

  • cosupport
  • stable module category
  • finite group scheme
  • localising subcategory
  • support
  • thick subcategory

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Benson, D., Iyengar, S. B., Krause, H., & Pevtsova, J. (2017). Stratification and π-cosupport: finite groups. Mathematische Zeitschrift, 287(3-4), 947-965. https://doi.org/10.1007/s00209-017-1853-8

Stratification and π-cosupport : finite groups. / Benson, Dave; Iyengar, Srikanth B. ; Krause, Henning; Pevtsova, Julia.

In: Mathematische Zeitschrift, Vol. 287, No. 3-4, 12.2017, p. 947-965.

Research output: Contribution to journalArticle

Benson, D, Iyengar, SB, Krause, H & Pevtsova, J 2017, 'Stratification and π-cosupport: finite groups', Mathematische Zeitschrift, vol. 287, no. 3-4, pp. 947-965. https://doi.org/10.1007/s00209-017-1853-8
Benson D, Iyengar SB, Krause H, Pevtsova J. Stratification and π-cosupport: finite groups. Mathematische Zeitschrift. 2017 Dec;287(3-4):947-965. https://doi.org/10.1007/s00209-017-1853-8
Benson, Dave ; Iyengar, Srikanth B. ; Krause, Henning ; Pevtsova, Julia. / Stratification and π-cosupport : finite groups. In: Mathematische Zeitschrift. 2017 ; Vol. 287, No. 3-4. pp. 947-965.
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