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Maximal subclasses of local fitting classes
Siberian Mathematical Journal, 2008Summary: A Fitting class \(\mathfrak F\) is said to be \(\pi\)-maximal if \(\mathfrak F\) is an inclusion maximal subclass of the Fitting class \(\mathfrak S_\pi\) of all finite soluble \(\pi\)-groups. We prove that \(\mathfrak F\) is a \(\pi\)-maximal Fitting class exactly when there is a prime \(p\in\pi\) such that the index of the \(\mathfrak F ...
Savelyeva, N. V., Vorob’ev, N. T.
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Rendiconti del Circolo Matematico di Palermo, 1999
Let \(\mathcal X\) be a homomorph and let \(G\) be a finite group. A chief factor \(F\) of group \(G\) is an \(\mathcal X\)-chief factor of \(G\) if \(F\in{\mathcal X}\). It is denoted by \(C_{\mathcal X}(G)=\bigcap\{C_G(F)\mid F\) is an \(\mathcal X\)-chief factor of \(G\}\) if the set of \(\mathcal X\)-chief factors of \(G\) is nonempty, otherwise ...
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Let \(\mathcal X\) be a homomorph and let \(G\) be a finite group. A chief factor \(F\) of group \(G\) is an \(\mathcal X\)-chief factor of \(G\) if \(F\in{\mathcal X}\). It is denoted by \(C_{\mathcal X}(G)=\bigcap\{C_G(F)\mid F\) is an \(\mathcal X\)-chief factor of \(G\}\) if the set of \(\mathcal X\)-chief factors of \(G\) is nonempty, otherwise ...
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Mathematical Proceedings of the Cambridge Philosophical Society, 1976
This note is devoted to the construction of a 〈Q, EΦ〉-closed Fischer class which is not a formation. It provides a negative answer to the Questions 3–7 raised by Cossey in (1). All groups considered are finite and soluble.
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This note is devoted to the construction of a 〈Q, EΦ〉-closed Fischer class which is not a formation. It provides a negative answer to the Questions 3–7 raised by Cossey in (1). All groups considered are finite and soluble.
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Formations and Fitting Classes
2015In Chapter V, we introduce the relevant knowledge for formation and Fitting class, and describe some of their related new results including the basic theory of part composition and partial local formations, factorization of formations and their lattice structure, the canonical subgroups related to formations and Fitting classes, the theory of ...
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Changes in cardiovascular fitness following physical fitness classes.
The Journal of family practice, 1985A program aimed at improving cardiovascular fitness was evaluated. This program involved 298 volunteer middle-aged participants who initially had a bicycle ergometry test to calculate fitness. Other measurements included body fat (estimated by skin fold measurements) and a rating of coronary-prone personality.
J E, Rodnick, A, Frischer
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Training with scaled logits to alleviate class-level over-fitting in few-shot learning
Neurocomputing, 2023Rui-Qi Wang, Fei Zhu
exaly
On Products of Fitting Classes
Journal of the London Mathematical Society, 1979openaire +2 more sources