Abstract
It is due to Thévenaz that a large part of Puig"s theory of pointed groups carries over to the context of Green functors for finite groups, where here maximal ideals play the role of points in the G-algebra situation. The objective of this paper is to generalize the results further to a situation where one replaces maximal ideals by prime ideals. Moreover, we show that also Puig"s version of Sylow"s first theorem for local pointed groups can be extended to this situation, and we demonstrate that Dress"s induction theorem is a consequence of this result.
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Fottner, H. Defect Theory for Prime Ideals and Dress"s Induction Theorem. Algebras and Representation Theory 2, 331–396 (1999). https://doi.org/10.1023/A:1009977503773
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DOI: https://doi.org/10.1023/A:1009977503773