Inductive conditions for counting conjectures via character triples
Britta SpäthBergische Universität Wuppertal, Germany
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In recent years several global/local conjectures in the representation theory of finite groups have been reduced to conditions on quasi-simple groups. We reformulate the inductive conditions for the conjectures by Alperin and McKay using (new) order relations between ordinary, respectively modular character triples. This allows to clarify the similarities and differences between those conditions.