s-Permutably embedded subgroups and p-supersolvable groups

2013 ◽  
Vol 57 (4) ◽  
pp. 729-736
Author(s):  
ShouHong Qiao ◽  
YanMing Wang
Keyword(s):  
Supersolvable Groups

scholarly journals A theorem of Hall-Higman type for supersolvable groups

1985 ◽  
Vol 96 (1) ◽  
pp. 194-210
Author(s):  
Alexandre Turull
Keyword(s):  
Supersolvable Groups

scholarly journals ON GENERALISED FC-GROUPS IN WHICH NORMALITY IS A TRANSITIVE RELATION

2015 ◽  
Vol 100 (2) ◽  
pp. 192-198
Author(s):  
R. ESTEBAN-ROMERO ◽  
G. VINCENZI
Keyword(s):  
Conjugacy Classes ◽  
Maximal Subgroups ◽  
Transitive Relation ◽  
Supersolvable Groups

We extend to soluble $\text{FC}^{\ast }$-groups, the class of generalised FC-groups introduced in de Giovanni et al. [‘Groups with restricted conjugacy classes’, Serdica Math. J. 28(3) (2002), 241–254], the characterisation of finite soluble T-groups obtained recently in Kaplan [‘On T-groups, supersolvable groups, and maximal subgroups’, Arch. Math. (Basel) 96(1) (2011), 19–25].

Some properties of finite supersolvable groups

1978 ◽  
Vol 30 (2) ◽  
pp. 191-192 ◽  
Author(s):  
L. S. Mozharovskaya
Keyword(s):  
Supersolvable Groups

Complementarity of Subgroups and the Structure of Finite Groups

2006 ◽  
Vol 13 (01) ◽  
pp. 9-16 ◽  
Author(s):  
Xiuyun Guo ◽  
K. P. Shum
Keyword(s):  
Finite Group ◽  
Finite Groups ◽  
Supersolvable Groups ◽  
A Finite Group ◽  
Special Subgroup

In this paper, we consider a finite group in which some subgroups are complemented in a special subgroup of a given group. Some new conditions are obtained for a finite group in a formation [Formula: see text] containing the class [Formula: see text] of finite supersolvable groups. Our results generalize the recent results on the complemented subgroups of finite groups.

On Supersolvable Groups and the Nilpotator

2004 ◽  
Vol 32 (2) ◽  
pp. 609-620 ◽  
Author(s):  
Piroska Csörgö ◽  
Marcel Herzog
Keyword(s):  
Supersolvable Groups

scholarly journals GROUPS IN WHICH EVERY NON-CYCLIC SUBGROUP CONTAINS ITS CENTRALIZER

2014 ◽  
Vol 13 (05) ◽  
pp. 1350154 ◽  
Author(s):  
COSTANTINO DELIZIA ◽  
URBAN JEZERNIK ◽  
PRIMOŽ MORAVEC ◽  
CHIARA NICOTERA
Keyword(s):  
Cyclic Subgroup ◽  
Study Groups ◽  
Simple Groups ◽  
Finite Simple Groups ◽  
Supersolvable Groups

We study groups having the property that every non-cyclic subgroup contains its centralizer. The structure of nilpotent and supersolvable groups in this class is described. We also classify finite p-groups and finite simple groups with the above defined property.

scholarly journals A generalisation of Kramer's theorem and its applications

2002 ◽  
Vol 65 (3) ◽  
pp. 467-475 ◽  
Author(s):  
Yanming Wang ◽  
Huaquan Wei ◽  
Yangming Li
Keyword(s):  
Saturated Formation ◽  
Supersolvable Groups

The main purpose of this paper is to generalise a supersolvability theorem of O. U. Kramer to a saturated formation containing the class of supersolvable groups. As applications, we generalise some results recently obtained by some scholars.

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