Class group relations from Burnside ring idempotents

[摘要] We show that for each finite cohomological Mackey functor on a finite group G there exist explicit relations in the category of finite abelian groups between the evaluations of the Mackey Functor at all the subgroups, one for each conjugacy class of nonhypo-elementary subgroups of G. Furthermore, we show that the class groups of the intermediate fields of a Galois extension of number fields form such a Mackey functor on the Galois group, thereby obtaining class group relations by using the presence of the structure of a cohomological Mackey functor. (C) 1997 Academic Press.

[发布日期] 1997-10-01