Defect of characters of the symmetric group

Following the work of B. Kulshammer, J. B. Olsson and G. R. Robinson on generalized blocks of the symmetric groups, we give a definition for the l-defect of characters of the symmetric group G(n), where l > 1 is an arbitrary integer. We prove that the l-defect is given by an analogue of the hook-length formula, and use it to prove, when n < l(2), an l-version of the McKay conjecture in G(n).


Published in:
Journal Of Group Theory, 12, 803-812
Year:
2009
Publisher:
Walter de Gruyter
ISSN:
1433-5883
Keywords:
Laboratories:




 Record created 2010-11-30, last modified 2018-03-17


Rate this document:

Rate this document:
1
2
3
 
(Not yet reviewed)