Finite Groups with Weakly Subnormal and Partially Subnormal Subgroups

2021 ◽  
Vol 62 (1) ◽  
pp. 169-177
Author(s):  
J. Huang ◽  
B. Hu ◽  
A. N. Skiba
Keyword(s):  
Finite Groups ◽  
Subnormal Subgroups

On generalised subnormal subgroups of finite groups

2021 ◽  
Author(s):  
A. Ballester-Bolinches ◽  
S. F. Kamornikov ◽  
V. N. Tyutyanov
Keyword(s):  
Finite Groups ◽  
Subnormal Subgroups

scholarly journals Projectivities in finite groups

1964 ◽  
Vol 4 (3) ◽  
pp. 308-326 ◽  
Author(s):  
D. W. Barnes
Keyword(s):  
Finite Groups ◽  
Subnormal Subgroups

Chains of projectivities within the lattice (G) of subnormal subgroups of group G have been considered by various authors, see for example Barnes [1] and Tamaschke [2].

Finite groups with nine non-subnormal subgroups

2014 ◽  
Vol 8 ◽  
pp. 223-228
Author(s):  
Aifang Feng ◽  
Zuhua Liu
Keyword(s):  
Finite Groups ◽  
Subnormal Subgroups

The product of generalized subnormal subgroups in finite groups

2009 ◽  
Vol 50 (4) ◽  
pp. 706-714
Author(s):  
V. N. Semenchuk ◽  
S. A. Mokeeva ◽  
O. A. Mokeeva
Keyword(s):  
Finite Groups ◽  
Subnormal Subgroups

Finite groups with given sets of 𝔉-subnormal subgroups

2019 ◽  
Vol 13 (04) ◽  
pp. 2050073 ◽  
Author(s):  
Viachaslau I. Murashka
Keyword(s):  
Finite Groups ◽  
Saturated Formation ◽  
Supersoluble Groups ◽  
Sylow Subgroups ◽  
Hereditary Saturated Formation ◽  
Subnormal Subgroups

In this paper, the classes of groups with given systems of [Formula: see text]-subnormal subgroups are studied. In particular, it is showed that if [Formula: see text] and [Formula: see text] are a saturated homomorph and a hereditary saturated formation, respectively, then the class of groups whose [Formula: see text]-subgroups are all [Formula: see text]-subnormal is a hereditary saturated formation. As corollaries, some known results about supersoluble groups, classes of groups with [Formula: see text]-subnormal cyclic primary and Sylow subgroups are obtained. Also the new characterization of the class of groups whose extreme subgroups all belong [Formula: see text], where [Formula: see text] is a hereditary saturated formation, is obtained.

On σ-subnormal subgroups of factorised finite groups

2020 ◽  
Vol 559 ◽  
pp. 195-202
Author(s):  
A. Ballester-Bolinches ◽  
S.F. Kamornikov ◽  
M.C. Pedraza-Aguilera ◽  
X. Yi
Keyword(s):  
Finite Groups ◽  
Subnormal Subgroups

scholarly journals Sylow Permutable Subnormal Subgroups of Finite Groups

2002 ◽  
Vol 251 (2) ◽  
pp. 727-738 ◽  
Author(s):  
A. Ballester-Bolinches ◽  
R. Esteban-Romero
Keyword(s):  
Finite Groups ◽  
Sylow Permutable ◽  
Subnormal Subgroups
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