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Derived length and character degrees of solvable groups
Author(s):
Alexander
Moretó
Journal:
Proc. Amer. Math. Soc.
132
(2004),
1599-1604.
MSC (2000):
Primary 20C15, 20D15
Posted:
November 14, 2003
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Abstract:
We prove that the derived length of a solvable group is bounded in terms of certain invariants associated to the set of character degrees and improve some of the known bounds. We also bound the derived length of a Sylow  -subgroup of a solvable group by the number of different  -parts of the character degrees of the whole group.
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Additional Information:
Alexander
Moretó
Affiliation:
Departament d'Àlgebra, Universitat de València, 46100 Burjassot. València, Spain
Email:
mtbmoqua@lg.ehu.es
DOI:
10.1090/S0002-9939-03-07251-4
PII:
S 0002-9939(03)07251-4
Received by editor(s):
December 5, 2002
Received by editor(s) in revised form:
February 13, 2003
Posted:
November 14, 2003
Additional Notes:
This research was supported by the Basque Government, the Spanish Ministerio de Ciencia y Tecnología, grant BFM2001-0180, and the FEDER
Communicated by:
Stephen D. Smith
Copyright of article:
Copyright
2003,
American Mathematical Society
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