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Ωζ-foliated Fitting Classes [PDF]

open access: hybridИзвестия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2020
All groups under consideration are assumed to be finite. For a nonempty subclass of Ω of the class of all simple groups I and the partition ζ = {ζi | i ∈ I}, where ζi is a nonempty subclass of the class I, I = ∪i∈I ζi and ζi ∩ ζj = ø for all i ≠ j, ΩζR ...
Kamozina, Olesia V.
doaj   +5 more sources

A fitting class construction [PDF]

open access: bronzeAnnali di Matematica Pura ed Applicata, 1990
A Fitting class construction is presented which has affinities with that of \textit{R. S. Dark} [Math. Z. 127, 145-156 (1972; Zbl 0226.20013)]. All groups considered are finite and soluble. Let \(p\), \(q\), \(r\) be primes. The author defines \({\mathcal M}\) as the class of groups of the form \(ABU\), where \(A\), \(B\) and \(U\) are nontrivial ...
Brendan Mc Cann
openaire   +2 more sources

Fitting classes and lattice formations II [PDF]

open access: bronzeJournal of the Australian Mathematical Society, 2004
AbstractGiven a lattice formation F of full characteristic, an F - Fitting class is a Fitting class with stronger closure properties involving F -subnormal subgroups. The main aim of this paper is to prove that the associated injectors possess a good behaviour with respect to F -subnormal subgroups.
Arroyo-Jordá, M., Pérez-Ramos, M. D.
  +5 more sources

Minimal Fitting Classes

open access: bronzeIrish Mathematical Society Bulletin, 1988
These two papers [see also the following item Zbl 0667.20016] are both about Fitting Class theory. A class \({\mathcal F}\) of finite groups is called a Fitting Class if it satisfies two properties, i) if \(G\in {\mathcal F}\) and H is a normal subgroup of G then \(H\in {\mathcal F}\) and ii) if G is a finite group and H and K are both normal subgroups
B. McCann
openaire   +3 more sources

Metanilpotent fitting classes [PDF]

open access: bronzeJournal of the Australian Mathematical Society, 1974
Hawkes showed in [10] that classes of metanilpotent groups which are both formations and Fitting classes are saturated and subgroup closed; more, he characterized all such classes as those local formations with a local definition consisting of saturated formations (of nilpotent groups).
Bryce, R. A., Cossey, John
openaire   +3 more sources

New developments in the ROOT fitting classes [PDF]

open access: diamondEPJ Web of Conferences, 2019
The ROOT Mathematical and Statistical libraries have been recently improved both to increase their performance and to facilitate the modelling of parametric functions that can be used for performing maximum likelihood fits to data sets to estimate ...
Valls Xavier   +3 more
doaj   +2 more sources

Social class, ethnicity, and the process of ‘fitting in’

open access: gold, 2017
This is the preprint version of Scandone, B. (2017). Social class, ethnicity and the process of ‘fitting in’. In R. Waller, N. Ingram & M. R. Ward (Eds.). Higher Education and Social Inequalities: University Admissions, Experiences, and Outcomes. Routledge.
Berenice Scandone
  +7 more sources

A characterization of dominant local Fitting classes

open access: yesJournal of Algebra, 2012
A Fitting class \(\mathcal F\) is called dominant in the class \(\mathcal S\) of all finite soluble groups if \(\mathcal F\subseteq\mathcal S\) and for every group \(G\in\mathcal S\) any two \(\mathcal F\)-maximal subgroups of \(G\) containing the \(\mathcal F\)-radical \(G_{\mathcal F}\) are conjugated in \(G\).
Hauck, P., Zahursky, V.N.
exaly   +3 more sources

Weakly totally permutable products and Fitting classes [PDF]

open access: yesInternational Journal of Group Theory, 2021
It is known that if $ G=AB $ is a product of its totally permutable subgroups $ A $ and $ B $‎, ‎then $ G\in \mathfrak{F} $ if and only if $ A\in \mathfrak{F} $ and $ B\in \mathfrak{F} $ when $ \mathfrak{F} $ is a Fischer class containing the class ...
Sesuai Madanha
doaj   +1 more source

Boolean Lattices of $n$-multiply $\omega\sigma$-fibered Fitting Classes

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2022
Let N be the set of all natural numbers. Consider all definitions and results taking into account the partitioning of the area for determining satellites and directions.
O.V. Kamozina
doaj   +1 more source

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