Bounding the structure constants of a group in terms of its number of irreducible character degrees

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Bounding the Number of Character Degrees of a Solvable Group

A difficult problem in the character theory of solvable groups is to show that the number c.d. (G) of irreducible character degrees of a solvable group G is equal to or greater than d.l. (G), the derived length of G. Isaacs [4] has shown that d.l. (G) ^ 3 c.d. (G)-2 for every solvable group. Berger [1] subsequently proved that d.l. (G) < c.d. (G) when | G | is odd. This problem belongs to the c...

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ژورنال

عنوان ژورنال: Journal of Algebra

سال: 1974

ISSN: 0021-8693

DOI: 10.1016/0021-8693(74)90163-x