$ \mathfrak{G} $ -separability of the lattice of τ-closed totally saturated formations

2010 ◽  
Vol 49 (5) ◽  
pp. 470-479 ◽  
Author(s):  
V. G. Safonov
Keyword(s):  
Saturated Formations

scholarly journals Saturated formations and products of connected subgroups

2011 ◽  
Vol 333 (1) ◽  
pp. 105-119 ◽  
Author(s):  
M.P. Gállego ◽  
P. Hauck ◽  
M.D. Pérez-Ramos
Keyword(s):  
Saturated Formations

Simulation of Seismic Responses from Oil Saturated Formations

2020 ◽  
Author(s):  
A.V. Shevchenko ◽  
V.I. Golubev ◽  
A.V. Ekimenko ◽  
I.B. Petrov
Keyword(s):  
Seismic Responses ◽  
Saturated Formations

scholarly journals Frattini classes of saturated formations of finite groups

1990 ◽  
Vol 42 (2) ◽  
pp. 267-286 ◽  
Author(s):  
Peter Förster
Keyword(s):  
Finite Groups ◽  
Local Formation ◽  
Formation Of Finite Groups ◽  
Saturated Formations ◽  
Definition Of

We study the following question: given any local formation of finite groups, do there exist maximal local subformations? An answer is given by providing a local definition of the intersection of all maximal local subformations.

scholarly journals Schunck classes and projectors in a class of locally finite groups

1995 ◽  
Vol 38 (3) ◽  
pp. 511-522 ◽  
Author(s):  
M. J. Tomkinson
Keyword(s):  
Finite Groups ◽  
Maximal Subgroups ◽  
Locally Finite ◽  
Soluble Groups ◽  
Locally Finite Groups ◽  
Finite Case ◽  
Saturated Formations ◽  
Definition Of ◽  
Schunck Class

We introduce a definition of a Schunck class of periodic abelian-by-finite soluble groups using major subgroups in place of the maximal subgroups used in Finite groups. This allows us to develop the theory as in the finite case proving the existence and conjugacy of projectors. Saturated formations are examples of Schunck classes and we are also able to obtain an infinite version of Gaschütz Ω-subgroups.

ON SYLOW NORMALIZERS OF FINITE GROUPS

2013 ◽  
Vol 13 (03) ◽  
pp. 1350116 ◽  
Author(s):  
L. S. KAZARIN ◽  
A. MARTÍNEZ-PASTOR ◽  
M. D. PÉREZ-RAMOS
Keyword(s):  
Finite Groups ◽  
Property A ◽  
Soluble Groups ◽  
Sylow Subgroups ◽  
Hall Subgroups ◽  
Saturated Formations ◽  
The Universe ◽  
Do So

The paper considers the influence of Sylow normalizers, i.e. normalizers of Sylow subgroups, on the structure of finite groups. In the universe of finite soluble groups it is known that classes of groups with nilpotent Hall subgroups for given sets of primes are exactly the subgroup-closed saturated formations satisfying the following property: a group belongs to the class if and only if its Sylow normalizers do so. The paper analyzes the extension of this research to the universe of all finite groups.

p-Saturated formations

1978 ◽  
Vol 30 (4) ◽  
pp. 307-312
Author(s):  
Elayne A. Idowu
Keyword(s):  
Saturated Formations

scholarly journals Locally defined Fitting classes

1975 ◽  
Vol 20 (1) ◽  
pp. 25-32 ◽  
Author(s):  
Patrick D' Arcy
Keyword(s):  
Conjugacy Class ◽  
Solvable Group ◽  
Solvable Groups ◽  
Fitting Class ◽  
Finite Solvable Group ◽  
Saturated Formations ◽  
Definition Of ◽  
Image Position ◽  
Fitting Classes

Fitting classes of finite solvable groups were first considered by Fischer, who with Gäschutz and Hartley (1967) showed in that in each finite solvable group there is a unique conjugacy class of “-injectors”, for a Fitting class. In general the behaviour of Fitting classes and injectors seems somewhat mysterious and hard to determine. This is in contrast to the situation for saturated formations and -projectors of finite solvable groups which, because of the equivalence saturated formations and locally defined formations, can be studied in a much more detailed way. However for those Fitting classes that are “locally defined” the theory of -injectors can be made more explicit by considering various centralizers involving the local definition of , giving results analogous to some of those concerning locally defined formations. Particular attention will be given to the subgroup B() defined by where the set {(p)} of Fitting classes locally defines , and the Sp are the Sylow p-subgroups associated with a given Sylow system − B() plays a role very much like that of Graddon's -reducer in Graddon (1971). An -injector of B() is an -injector of G, and for certain simple B() is an -injector of G.

Vp/Vs in unconsolidated oil sands: Shear from Stoneley

Geophysics ◽  
1987 ◽  
Vol 52 (4) ◽  
pp. 502-513 ◽  
Author(s):  
Brian E. Hornby ◽  
William F. Murphy
Keyword(s):  
Heavy Oil ◽  
Oil Sands ◽  
Waveform Analysis ◽  
The Core ◽  
Full Waveform ◽  
Fluid Saturation ◽  
Saturated Formations ◽  
Compressional Mode ◽  
Water Saturated ◽  
Compressional Velocity

The SDT-A sonic tool was tested in a borehole in the Orinoco heavy oil belt, eastern Venezuela. The sonically slow reservoir consists of unconsolidated quartz sand interbedded with shale. Full‐waveform analysis yields both compressional and shear slownesses. We calculated the shear‐wave slowness from the Stoneley slowness; compressional and Stoneley slownesses were determined using modified semblance techniques. The compressional velocity is relatively fast in the heavy oil pay zone compared to the remainder of the well. Heavy oil (8 API) possesses a finite rigidity at sonic frequencies, and the rigidity of the hydrocarbon adds to the stiffness of the poorly consolidated sand. The sand would not otherwise yield such a high velocity. Compressional and shear velocities of samples from eight whole cores were measured in the laboratory, and the core velocities were found to be consistent with the logs. Especially encouraging is the agreement of the laboratory shear with the shear log derived from Stoneley. The ratio of the compressional‐to‐shear velocities, [Formula: see text], is sensitive to fluid saturation and rock fabric. The oil sands have a [Formula: see text] of less than 2.5. The shales in the well have a [Formula: see text] of greater than 2.5. We found that water‐saturated formations are governed by Biot’s theory, while oil sands are better described by scattering theory. A third arrival has been identified as a leaky compressional mode trapped in the borehole. The velocity of the mode is dominated by the slowness of the borehole mud.

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