Journal of Algebra

2000

DOI: 10.1006/jabr.2000.8426

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Fitting Heights of Solvable Groups with Few Character Degrees

Jeffrey M. Riedl

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Cited by 12 publications

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“…By Theorem A in [20], the Fitting height h G of G is at most 3. , we can see cd G/N = cd G . Let F/N be the Fitting subgroup of G/N .…”

Section: Preliminariesmentioning

confidence: 99%

Groups with Four Character Degrees and Derived Length Four

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,

²

2015

Communications in Algebra

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In this article, we consider solvable groups that have four character degrees and derived length four.

“…By Theorem A in [20], the Fitting height h G of G is at most 3. , we can see cd G/N = cd G . Let F/N be the Fitting subgroup of G/N .…”

Section: Preliminariesmentioning

confidence: 99%

Groups with Four Character Degrees and Derived Length Four

¹

,

²

2015

Communications in Algebra

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In this article, we consider solvable groups that have four character degrees and derived length four.

On automorphism groups of some finite groups

¹

2003

Sci. China Ser. A-Math.

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No abstract

A graph associated with the $\pi$-character degrees of a group

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et al. 2003

Archiv der Mathematik

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Let G be a group and π be a set of primes. We consider the set cd π (G) of character degrees of G that are divisible only by primes in π. In particular, we define π (G) to be the graph whose vertex set is the set of primes dividing degrees in cd π (G). There is an edge between p and q if pq divides a degree a ∈ cd π (G). We show that if G is π -solvable, then π (G) has at most two connected components.

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