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The emergence of group fitness

Evolution, 2022
Whether and how selection can act on collectives rather than single entities has been a tumultuous issue in evolutionary biology for decades. Despite examples of multilevel selection, a simple framework is needed that makes explicit the constraints that lead to the emergence of a "group fitness function." We use evolutionary game theory to show that ...
Iuval Clejan   +2 more
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On the fitting length of NC-groups

Geometriae Dedicata, 1991
A finite group \(G\) is called an NC-group if, for each prime \(p\), the normalizer and the centralizer of the centre of the Sylow \(p\)-subgroups of \(G\) coincide. Soluble NC-groups with arbitrarily large Fitting length and trivial centre are constructed. Theorem 4 is central to the paper: If \(H\) is a non-identity \(\{p,q\}\)-group such that \(O_ p(
Gilotti, Anna Luisa   +2 more
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Injectors in fitting sets of finite groups

Mathematical Notes, 2015
The summary in the paper has the following text: ``A set of subgroups \(\mathcal F\) of a finite group \(G\) is referred to as a Fitting set if it is closed with respect to taking normal subgroups, products of normal \(\mathcal F\)-subgroups, and inner automorphisms of \(G\). A Fitting set \(\mathcal F\) of a group \(G\) is said to be \(\pi\)-saturated
Vorobev, N. T., Semenov, M. G.
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Person-Group Fit

Journal of Management, 2012
This article explores antecedents and outcomes of group-level person-group (PG) fit perceptions. Based on the categorization-elaboration model (CEM), the authors explain how social category (gender and age) and informational diversity (education and work experience) in work teams may elicit supplementary and complementary fit perceptions among team ...
Jee Young Seong   +4 more
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Too Much Fit with a Group? Person-Group Fit as a Moderator of the Effect of Charismatic Leadership

Academy of Management Proceedings, 2021
Drawing on theories of substitutes and contingencies for leadership, we explore how person-group (PG) fit moderates the relationship between charismatic leadership (CL) and task performance via fol...
Inju Yang   +3 more
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On the Fitting height of a finite group

Journal of Group Theory, 2010
This note contains a slick proof, based on a concept introduced by \textit{A. Turull} [J. Algebra 86, 555-566 (1984; Zbl 0526.20017)] of the following Theorem: A finite group is solvable with Fitting height at most \(h\) if and only if every pair of conjugate elements generates a solvable subgroup whose Fitting height is at most \(h\).
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Fitting functors and radicals of finite groups

Siberian Mathematical Journal, 2011
If \(\mathfrak X\) is a class of groups, then a map \(f\) that assigns to each group \(G\) of the class \(\mathfrak X\) a nonempty system of its subgroups \(f(G)\) is said to be a subgroup \(\mathfrak X\)-functor if \(\alpha(f(G))=f(\alpha(G))\) for every isomorphism \(\alpha\) of \(G\).
Vit`ko, E., Vorob`ev, N. T.
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Cardiovascular fitness in a selected group of dentists

The Journal of Sports Medicine, 1975
Thirty-three dentists were studied as part of an exercise rehabititation clinic in order to evaluate their cardiovascular capacity and coronary prone risk factors Measure ments were made of their physical work capacity, predicted maximal oxygen up take, fatness, serum lipids and uric acid levels, pulmonary peak flow rates and personality Type A or B ...
D A, Cunningham   +6 more
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Fitting in a group: Theoretical development and validation of the Multidimensional Perceived Person–Group Fit scale

Personnel Psychology, 2018
AbstractDespite the wide use of groups in organizations, research on individuals’ experiences of fit in their work groups has lagged due to lack of conceptual clarity of person–group (PG) fit and inconsistent measurement. To rectify these issues, we present an integrative definition of PG fit, which incorporates social‐ and task‐related elements of ...
Christina S. Li   +2 more
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Products of fitting classes of finite groups

Israel Journal of Mathematics, 1972
Using Fitting classes we generalize some well known theorems on centralizers in finite groups.
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