Journal of Guangxi Normal University(Natural Science Edition) ›› 2011, Vol. 29 ›› Issue (2): 21-25.

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Sovable Groups with Irreducible Character Degrees Graphs Having a Kind of Connected Components

LIANG Deng-feng1, YU Xin-yan2, QIN Le-yang2   

  1. 1.College of Science,Beijing Technology and Business University,Beijing 100048,China;
    2.College of Computer and Information Engineering,Beijing Technology andBusiness University,Beijing 100048,China
  • Received:2011-01-30 Published:2018-11-19

Abstract: Let G be solvable,and ρ(G)=π1∪π2∪｛p｝ is disjoint union,where |π1|,|π2|≥1,π1∩π2= .Assume that no prime in π1 is adjacent in Γ(G) to any prime in π2.Then the Fitting height 2≤n(G)≤4,and when n(G)≠4,there are G=G0 G1 … Gs such that Gi/Gi+1 is either an ablian groupor a p-group,where s≤6.

Key words: finite solvable groups, irreducible character degreesgraphs, derived length

CLC Number: 

  • O152.6
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