Stratifying modular representations of finite groups

Benson D, Iyengar SB, Krause H (2011)
Annals of Mathematics 174(3): 1643-1684.

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Zeitschriftenaufsatz | Veröffentlicht | Englisch
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Abstract / Bemerkung
We classify localising subcategories of the stable module category of afinite group that are closed under tensor product with simple (or, equivalentlyall) modules. One application is a proof of the telescope conjecture in thiscontext. Others include new proofs of the tensor product theorem and of theclassification of thick subcategories of the finitely generated modules whichavoid the use of cyclic shifted subgroups. Along the way we establish similarclassifications for differential graded modules over graded polynomial rings,and over graded exterior algebras.
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Zeitschriftentitel
Annals of Mathematics
Band
174
Ausgabe
3
Seite(n)
1643-1684
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Benson D, Iyengar SB, Krause H. Stratifying modular representations of finite groups. Annals of Mathematics. 2011;174(3):1643-1684.
Benson, D., Iyengar, S. B., & Krause, H. (2011). Stratifying modular representations of finite groups. Annals of Mathematics, 174(3), 1643-1684. doi:10.4007/annals.2011.174.3.6
Benson, D., Iyengar, S. B., and Krause, H. (2011). Stratifying modular representations of finite groups. Annals of Mathematics 174, 1643-1684.
Benson, D., Iyengar, S.B., & Krause, H., 2011. Stratifying modular representations of finite groups. Annals of Mathematics, 174(3), p 1643-1684.
D. Benson, S.B. Iyengar, and H. Krause, “Stratifying modular representations of finite groups”, Annals of Mathematics, vol. 174, 2011, pp. 1643-1684.
Benson, D., Iyengar, S.B., Krause, H.: Stratifying modular representations of finite groups. Annals of Mathematics. 174, 1643-1684 (2011).
Benson, Dave, Iyengar, Srikanth B., and Krause, Henning. “Stratifying modular representations of finite groups”. Annals of Mathematics 174.3 (2011): 1643-1684.

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