Lattices of partially local fitting classes

2009 ◽  
Vol 50 (6) ◽  
pp. 1038-1044 ◽  
Author(s):  
E. N. Zalesskaya ◽  
N. N. Vorob’ëv
Keyword(s):  
Fitting Classes ◽  
Local Fitting

scholarly journals Quasinormal Fitting classes of finite groups

2019 ◽  
pp. 18-26
Author(s):  
Martsinkevich Anna V.
Keyword(s):  
Natural Number ◽  
Wreath Product ◽  
Cyclic Group ◽  
Finite Groups ◽  
Fitting Class ◽  
Soluble Groups ◽  
Normal Fitting Class ◽  
Fitting Classes ◽  
Local Fitting ◽  
Class F

Let P be the set of all primes, Zn a cyclic group of order n and X wr Zn the regular wreath product of the group X with Zn. A Fitting class F is said to be X-quasinormal (or quasinormal in a class of groups X ) if F ⊆ X, p is a prime, groups G ∈ F and G wr Zp ∈ X, then there exists a natural number m such that G m wr Zp ∈ F. If  X is the class of all soluble groups, then F is normal Fitting class. In this paper we generalize the well-known theorem of Blessenohl and Gaschütz in the theory of normal Fitting classes. It is proved, that the intersection of any set of nontrivial X-quasinormal Fitting classes is a nontrivial X-quasinormal Fitting class. In particular, there exists the smallest nontrivial X-quasinormal Fitting class. We confirm a generalized version of the Lockett conjecture (in particular, the Lockett conjecture) about the structure of a Fitting class for the case of X-quasinormal classes, where X is a local Fitting class of partially soluble groups.

On σ-local Fitting classes

2020 ◽  
Vol 542 ◽  
pp. 116-129 ◽  
Author(s):  
Wenbin Guo ◽  
Li Zhang ◽  
N.T. Vorob'ev
Keyword(s):  
Fitting Classes ◽  
Local Fitting

scholarly journals A characterization of dominant local Fitting classes

2012 ◽  
Vol 358 ◽  
pp. 27-32 ◽  
Author(s):  
P. Hauck ◽  
V.N. Zahursky
Keyword(s):  
Fitting Classes ◽  
Local Fitting

On the distributivity of the lattice of solvable totally local fitting classes

2000 ◽  
Vol 67 (5) ◽  
pp. 563-571 ◽  
Author(s):  
N. N. Vorob’ev ◽  
A. N. Skiba
Keyword(s):  
Fitting Classes ◽  
Local Fitting

Maximal subclasses of local fitting classes

2008 ◽  
Vol 49 (6) ◽  
pp. 1124-1130 ◽  
Author(s):  
N. V. Savelyeva ◽  
N. T. Vorob’ev
Keyword(s):  
Fitting Classes ◽  
Local Fitting

On the Boolean lattices ofn times local fitting classes

1999 ◽  
Vol 40 (3) ◽  
pp. 446-452
Author(s):  
N. N. Vorob′ëv ◽  
A. N. Skiba
Keyword(s):  
Boolean Lattices ◽  
Fitting Classes ◽  
Local Fitting

Active contour segmentation model of combining global and dual-core local fitting energy

2013 ◽  
Vol 33 (4) ◽  
pp. 1092-1095 ◽  
Author(s):  
Jie ZHAO ◽  
Yongmei QI ◽  
Zhengyong PAN
Keyword(s):  
Active Contour ◽  
Contour Segmentation ◽  
Dual Core ◽  
Local Fitting

scholarly journals A family of dominant Fitting classes of finite soluble groups

1998 ◽  
Vol 64 (1) ◽  
pp. 33-43 ◽  
Author(s):  
A. Ballester-Bolinches ◽  
A. Martínez-Pastor ◽  
M. D. Pérez-Ramos
Keyword(s):  
Large Family ◽  
Soluble Groups ◽  
Fitting Classes

AbstractIn this paper a large family of dominant Fitting classes of finite soluble groups and the description of the corresponding injectors are obtained. Classical constructions of nilpotent and Lockett injectors as well as p-nilpotent injectors arise as particular cases.

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