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Groups whose Proper Subgroups of Infinite Rank are Minimax-by-Nilpotent or Nilpotent-by-Minimax [PDF]
Advances in Group Theory and Applications, 2020 Let M denote the class of of soluble-by-finite minimax groups, and N the class of nilpotent groups. The main result states that if G is a group of infinite rank whose proper subgroups of infinite rank are MN-groups, then G is either in MN or it is a ...
Amel Zitouni
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Groups with minimax commutator subgroup [PDF]
International Journal of Group Theory, 2014 A result of Dixon, Evans and Smith shows that if $G$ is a locally (soluble-by-finite) group whose proper subgroups are (finite rank)-by-abelian, then $G$ itself has this property, i.e. the commutator subgroup of~$G$ has finite rank.
Francesco de Giovanni, Trombetti
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On invariant ideals in group rings of torsion-free minimax nilpotent groups
Researches in Mathematics, 2023 Let $k$ be a field and let $N$ be a nilpotent minimax torsion-free group acted by a solvable group of operators $G$ of finite rank. In the presented paper we study properties of some types of $G$-invariant ideals of the group ring $kN$.
A.V. Tushev
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Groups with soluble minimax conjugate classes of subgroups [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2008 A classical result of Neumann characterizes the groups in which each subgroup has finitely many conjugates only as central-by-finite groups. If X is a class of groups, a group G is said to have X-conjugate classes of subgroups if G/coreG(NG(H)) 2 X for ...
Francesco Russo
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Sequential Minimax Search for Multi-Layer Gene Grouping [PDF]
IEEE Access, 2019 Many areas of exploratory data analysis need to deal with high-dimensional data sets. Some real life data like human gene have an inherent structure of hierarchy, which embeds multi-layer feature groups.
Wenting Wang +3 more
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Statistical approaches for service delivery differentials as assessed through a composite indicator: Application to Ugandan local governments. [PDF]
PLoS ONEThis study assesses differentials in service delivery among Ugandan local governments through a composite indicator that consolidates essential performance data from the education, health, and water sectors.
Hillary Muhanguzi +3 more
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Optimal futility stopping boundaries for binary endpoints [PDF]
BMC Medical Research MethodologyBackground Group sequential designs incorporating the option to stop for futility at the time point of an interim analysis can save time and resources.
Michaela Maria Freitag +2 more
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Groups with the real chain condition on non-pronormal subgroups [PDF]
International Journal of Group Theory, 2023 It is shown that a generalised radical group has no chain of non-pronormal subgroups with the same order type as the set $\mathbb{R}$ of the real numbers if and only if either the group is minimax or all subgroups are pronormal.
Ulderico Dardano, Fausto De Mari
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On groups with many normal subgroups [PDF]
International Journal of Group Theory, 2023 The structure of groups which are rich in normal subgroups has been investigated by several authors. Here, we prove that if a radical group G has normal deviation, which means that the set of its non-normal subgroups satisfies a very weak chain condition,
Alessio Russo, Mario Viscusi
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Minimax Group Fairness: Algorithms and Experiments [PDF]
Proceedings of the 2021 AAAI/ACM Conference on AI, Ethics, and Society, 2021 We consider a recently introduced framework in which fairness is measured by worst-case outcomes across groups, rather than by the more standard differences between group outcomes. In this framework we provide provably convergent oracle-efficient learning algorithms (or equivalently, reductions to non-fair learning) for minimax group fairness. Here the
Emily Diana +4 more
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