Dade's conjecture

In finite group theory, Dade's conjecture is a conjecture relating the numbers of characters of blocks of a finite group to the numbers of characters of blocks of local subgroups, introduced by Everett C. Dade.

References

Dade, Everett C. (1992), "Counting characters in blocks. I", Inventiones Mathematicae, 109 (1): 187–210, doi:10.1007/BF01232023, ISSN 0020-9910, MR 1168370
Dade, Everett C. (1994), "Counting characters in blocks. II", Journal für die reine und angewandte Mathematik, 448: 97–190, doi:10.1515/crll.1994.448.97, ISSN 0075-4102, MR 1266748
Dade, Everett C. (1997), "Counting characters in blocks. II.9", in Solomon, Ronald (ed.), Representation theory of finite groups (Columbus, OH, 1995), Ohio State Univ. Math. Res. Inst. Publ., 6, Berlin: de Gruyter, pp. 45–59, ISBN 978-3-11-015806-9, MR 1611009

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