Results 311 to 320 of about 1,812,091 (361)
Change-Plane Analysis for Subgroup Detection and Sample Size Calculation
We propose a systematic method for testing and identifying a subgroup with an enhanced treatment effect. We adopts a change-plane technique to first test the existence of a subgroup, and then identify the subgroup if the null hypothesis on nonexistence ...
Rui Song, Wenbin Lu
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On the permutability of sylow subgroups with Schmidt subgroups
Proceedings of the Steklov Institute of Mathematics, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Knyagina, V. N., Monakhov, V. S.
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Fuzzy subgroups and anti fuzzy subgroups
Fuzzy Sets and Systems, 1990Using de Morgan's laws in the calculus of fuzzy sets the author discusses notions dual to level sets of fuzzy sets and to fuzzy groups [cf. \textit{P. S. Das}, J. Math. Anal. Appl. 84, 264-269 (1981; Zbl 0476.20002)]. The de Morgan complement of a fuzzy group is called here ``anti fuzzy group'' (without any algebraic analogy).
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Subgroup identification for precision medicine: A comparative review of 13 methods
WIREs Data Mining Knowl. Discov., 2019Natural heterogeneity in patient populations can make it very hard to develop treatments that benefit all patients. As a result, an important goal of precision medicine is identification of patient subgroups that respond to treatment at a much higher (or
Wei-Yin Loh, Luxi Cao, Peigen Zhou
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The Annals of Mathematics, 1971
The second author proved, in [27], a duality theorem for general locally compact groups as a generalization of the so-called Tannaka duality theorem for compact groups. In the proof, the regular representation plays an essential role. In order to clarify the role of the regular representation in duality theory, the first author gave, in [23], a ...
Takesaki, Masamichi, Tatsuuma, Nobuhiko
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The second author proved, in [27], a duality theorem for general locally compact groups as a generalization of the so-called Tannaka duality theorem for compact groups. In the proof, the regular representation plays an essential role. In order to clarify the role of the regular representation in duality theory, the first author gave, in [23], a ...
Takesaki, Masamichi, Tatsuuma, Nobuhiko
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Counting Congruence Subgroups in Arithmetic Subgroups
Bulletin of the London Mathematical Society, 1994This paper investigates the local zeta functions counting the \(S\)-congruence subgroups in \(S\)-arithmetic groups; more precisely: Let \(\Gamma\) be an \(S\)-arithmetic subgroup of a \(k\)-linear algebraic group \(G\), \(k\) a number field and \[ c_n (\Gamma):= \text{card} \{H\leq \Gamma \mid [\Gamma :H] =n \text{ and \(H\) is an \(S\)-congruence ...
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Divisible TL-subgroups and pure TL-subgroups
Fuzzy Sets and Systems, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shih-Chuan Cheng, Zhudeng Wang
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Fuzzy subgroups of n-ary subgroups
Journal of Mathematical Sciences, 2012The first fuzzification of an \(n\)-ary algebraic structure was introduced in 2000 by \textit{W. A. Dudek} [Quasigroups Relat. Syst. 7, 45-66 (2000; Zbl 0986.20069)]. The notion of intuitionistic fuzzy set in \(n\)-ary systems was defined and studied also by \textit{W. A. Dudek} [ibid. 13, No. 2, 213-228 (2005; Zbl 1109.20059)].
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International Journal of Algebra and Computation, 2022
We introduce the concept of a conormal subgroup: a subgroup is conormal if it is contranormal in its normal closure. This unifies the concepts of normal and contranormal subgroups. We obtain some important properties of conormal subgroups, describe their connections with transitivity of normality, and study groups in which all conormal subgroups are ...
Martyn R. Dixon +2 more
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We introduce the concept of a conormal subgroup: a subgroup is conormal if it is contranormal in its normal closure. This unifies the concepts of normal and contranormal subgroups. We obtain some important properties of conormal subgroups, describe their connections with transitivity of normality, and study groups in which all conormal subgroups are ...
Martyn R. Dixon +2 more
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The Frattini subgroups of subgroups of hyperbolic groups
Journal of Group Theory, 2003The article under review is dedicated to the Frattini subgroup of a finitely generated word-hyperbolic group. The author proves that the Frattini subgroup of any finitely generated subgroup of a word-hyperbolic group is finite nilpotent (Theorem A), and the Frattini subgroup of a finitely generated residually torsion-free word-hyperbolic group is ...
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