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Finite groups with some weakly s-semipermutable subgroups
-
Guo Zhong
,
Xuanlong Ma
Veröffentlicht/Copyright:
5. Juni 2013
Abstract.
A subgroup H of a finite group G is said to be weakly s-semipermutable in G if there
exist a subnormal subgroup K of G and an s-semipermutable subgroup 
of G contained in H such that 
and 
. In this paper, we research the influence of weakly s-semipermutability of some primary subgroups on the structure of finite groups. Some new results on p-supersolvability and p-nilpotency of finite groups are shown.
Received: 2013-04-24
Accepted: 2013-05-25
Published Online: 2013-06-05
Published in Print: 2013-06-01
© 2013 by Walter de Gruyter Berlin Boston
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Artikel in diesem Heft
- Masthead
- Erratum: Harmonic boundary value problems in a quarter ring domain [Adv. Pure Appl. Math. 3 (2012), 393–419]
- Dunkl kernel and Dunkl translation for a positive subsystem of orthogonal roots
- On orthogonal polynomials associated with rational perturbations of linear functional
- Multiple solutions for a class of p(x)-Kirchhoff type problems with Neumann boundary conditions
- A further application of power increasing sequences
- Regularity of fractal interpolation functions via wavelet transform
- Finite groups with some weakly s-semipermutable subgroups
- Stratification of the fourth secant variety of Veronese varieties via the symmetric rank
Schlagwörter für diesen Artikel
Weakly s-semipermutable subgroup;
p-nilpotentcy;
p-supersolvability;
saturated formation
Artikel in diesem Heft
- Masthead
- Erratum: Harmonic boundary value problems in a quarter ring domain [Adv. Pure Appl. Math. 3 (2012), 393–419]
- Dunkl kernel and Dunkl translation for a positive subsystem of orthogonal roots
- On orthogonal polynomials associated with rational perturbations of linear functional
- Multiple solutions for a class of p(x)-Kirchhoff type problems with Neumann boundary conditions
- A further application of power increasing sequences
- Regularity of fractal interpolation functions via wavelet transform
- Finite groups with some weakly s-semipermutable subgroups
- Stratification of the fourth secant variety of Veronese varieties via the symmetric rank
