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- Title
Rank varieties and π-points for elementary supergroup schemes.
- Authors
Benson, Dave; Iyengar, Srikanth B.; Krause, Henning; Pevtsova, Julia
- Abstract
We develop a support theory for elementary supergroup schemes, over a field of positive characteristic p ≥ 3, starting with a definition of a π-point generalising cyclic shifted subgroups of Carlson for elementary abelian groups and π-points of Friedlander and Pevtsova for finite group schemes. These are defined in terms of maps from the graded algebra k[t,τ]/(tp−τ2), where t has even degree and τ has odd degree. The strength of the theory is demonstrated by classifying the parity change invariant localising subcategories of the stable module category of an elementary supergroup scheme.
- Subjects
ABELIAN groups; FINITE groups; ALGEBRA
- Publication
Transactions of the American Mathematical Society, Series B, 2021, Vol 8, p971
- ISSN
2330-0000
- Publication type
Article
- DOI
10.1090/btran/74