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Prime divisors of character degrees
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Alexander Moretó
Published/Copyright:
May 21, 2008
Abstract
Pálfy proved that given a solvable group G and a set 
of prime divisors of character degrees of G of cardinality at least 3, there exist two different primes 
such that pq divides some character degree. The solvability hypothesis cannot be removed from Pálfy's theorem, but we show that the same conclusion holds for arbitrary finite groups if 
.
Received: 2007-02-16
Revised: 2007-07-09
Published Online: 2008-05-21
Published in Print: 2008-May
© de Gruyter 2008
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Articles in the same Issue
- Extending real-valued characters of finite general linear and unitary groups on elements related to regular unipotents
- Involution models of finite Coxeter groups
- Prime divisors of character degrees
- A characterization of HN
- Symmetric groups and conjugacy classes
- Conjugacy classes of non-normal subgroups in finite nilpotent groups
- Normalizers of subgroups of division rings
- On the Frattini and upper near Frattini subgroups of a generalized free product
- Reflection principle characterizing groups in which unconditionally closed sets are algebraic
