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, Bibcode:1992InMat.109..187D, doi:10.1007/BF01232023, ISSN 0020-9910, MR 1168370, S2CID 121655449
• Dade, Everett C. (1994), "Counting characters in blocks. II", Journal für die reine und angewandte Mathematik, 1994 (448): 97–190, doi:10.1515/crll.1994.448.97, ISSN 0075-4102, MR 1266748, S2CID 116626705
• 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., vol. 6, Berlin: de Gruyter, pp. 45–59, ISBN 978-3-11-015806-9, MR 1611009