Finite group schemes and a conjecture of Kitaoka

2003 ◽  
Vol 2003 (557) ◽  
Author(s):  
Marcin Mazur
Keyword(s):  
Finite Group ◽  
Group Schemes ◽  
Finite Group Schemes

scholarly journals Stratification for module categories of finite group schemes

2017 ◽  
Vol 31 (1) ◽  
pp. 265-302 ◽  
Author(s):  
Dave Benson ◽  
Srikanth B. Iyengar ◽  
Henning Krause ◽  
Julia Pevtsova
Keyword(s):  
Finite Group ◽  
Group Schemes ◽  
Finite Group Schemes

Finite group schemes of p-rank ≤ 1

2017 ◽  
Vol 166 (2) ◽  
pp. 297-323
Author(s):  
HAO CHANG ◽  
ROLF FARNSTEINER
Keyword(s):  
Finite Group ◽  
Lie Algebras ◽  
Group Scheme ◽  
Closed Field ◽  
Difficult Case ◽  
Modular Representation Theory ◽  
Group Schemes ◽  
Restricted Lie Algebras ◽  
A Finite Group ◽  
Finite Group Schemes

AbstractLet be a finite group scheme over an algebraically closed field k of characteristic char(k) = p ≥ 3. In generalisation of the familiar notion from the modular representation theory of finite groups, we define the p-rank rkp() of and determine the structure of those group schemes of p-rank 1, whose linearly reductive radical is trivial. The most difficult case concerns infinitesimal groups of height 1, which correspond to restricted Lie algebras. Our results show that group schemes of p-rank ≤ 1 are closely related to those being of finite or domestic representation type.

scholarly journals The variety of subadditive functions for finite group schemes

2017 ◽  
Vol 239 (3) ◽  
pp. 289-296
Author(s):  
Dave Benson ◽  
Henning Krause
Keyword(s):  
Finite Group ◽  
Group Schemes ◽  
Finite Group Schemes
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