On the character degree graph of solvable groups. II. Discon- nected graphs

P. P. Pálfy

doi:10.1556/sscmath.38.2001.1-4.25

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Studia Scientiarum Mathematicarum Hungarica

Volume/Issue:: Volume 38: Issue 1-4

On the character degree graph of solvable groups. II. Discon- nected graphs

Author:

P. P. Pálfy

P. P. Pálfy ELTE Algebra Tanszék 1117 Budapest, Pázmány P. sétány 1/c

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Pages:: 339–355

Online Publication Date:: 22 Jul 2005

Publication Date:: 01 May 2001

Article Category:: Journal Article

DOI:: https://doi.org/10.1556/sscmath.38.2001.1-4.25

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Let G be a finite solvable group and ¡ a set of primes such that the degree of each irreducible character of G is either a ¡-number or a ¡0-number. We show that such groups have a very restricted structure, for example, their nilpotent length is at most 4. We also prove that Huppert's ^{ÿ Conjecture is valid for these groups.

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Studia Scientiarum Mathematicarum Hungarica

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Studia Scientiarum Mathematicarum Hungarica
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