On the character degree graph of solvable groups.: II.: Disconnected graphs

被引：24
|
作者：
Pálfy, PP
机构：
来源：
STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA | 2001年 / 38卷
关键词：
character degree; solvable group; primitive prime divisor;
D O I：
10.1556/SScMath.38.2001.1-4.25
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let G be a finite solvable group and pi a set of primes such that the degree of each irreducible character of G is either a pi -number or a pi -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 rho-sigma Conjecture is valid for these groups.
引用
收藏
页码：339 / 355
页数：17
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