Abstract

Let (K, O, k) be a p-modular system and assume k is algebraically closed. We show that if Λ is an O-order in a separable K-algebra, then PicO(Λ) carries the structure of an algebraic group over k. As an application to the modular representation theory of finite groups, we show that a reduction theorem by Kulshammer concerned with Donovan’s conjecture remains valid over O.

Publication Type:	Monograph (Working Paper)
Additional Information:	©the authors, 2020.
Subjects:	Q Science > QA Mathematics
Departments:	School of Science & Technology > Mathematics

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