Results 51 to 60 of about 10,264,920 (253)
Finite groups with star-free noncyclic graphs
Open Mathematics, 2019 For a finite noncyclic group G, let Cyc(G) be the set of elements a of G such that 〈a, b〉 is cyclic for each b of G. The noncyclic graph of G is a graph with the vertex set G ∖ Cyc(G), having an edge between two distinct vertices x and y if 〈x, y〉 is not
Ma Xuanlong, Walls Gary L., Wang Kaishun
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On g-Noncommuting Graph of a Finite Group Relative to Its Subgroups
Mathematics, 2021 Let H be a subgroup of a finite non-abelian group G and g∈G. Let Z(H,G)={x∈H:xy=yx,∀y∈G}. We introduce the graph ΔH,Gg whose vertex set is G\Z(H,G) and two distinct vertices x and y are adjacent if x∈H or y∈H and [x,y]≠g,g−1, where [x,y]=x−1y−1xy.
Monalisha Sharma +2 more
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Cyclic permutable subgroups of finite groups [PDF]
, 2001 The authors describe the structure of the normal closure of a cyclic permutable subgroup of odd order in a finite ...
Cossey, John, Stonehewer, Stewart E.
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Treatment of disorders of consciousness (DoC) remains a major clinical challenge, and noninvasive, targeted modulation of deep brain structures has emerged as a promising therapeutic strategy. We aimed to evaluate the feasibility/safety and preliminary effects of thalamic temporal interference stimulation (TIS) targeting centromedian‐
Gengyao Hu +7 more
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On Factorised Finite Groups [PDF]
Mediterranean Journal of Mathematics, 2020 [EN] A subgroup H of a finite group G is called P-subnormal in G if either H = G or it is connected to G by a chain of subgroups of prime indices. In this paper, some structural results of finite groups which are factorised as the product of two P-subnormal subgroups is showed.
A. Ballester-Bolinches +3 more
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Advanced Engineering Materials, EarlyView.Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt +8 more
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Advanced Engineering Materials, EarlyView.This article presents the design, modeling, and characterization of air‐pressure–actuated programmable vibroacoustic metamaterials (PVAMM). The study focuses on leveraging air pressure to dynamically tune resonance frequencies for effective noise attenuation.
William Kaal +2 more
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Finite groups with given systems of generalised σ-permutable subgroups
Журнал Белорусского государственного университета: Математика, информатика, 2021 Let σ = {σi|i ∈ I } be a partition of the set of all primes ℙ and G be a finite group. A set ℋ of subgroups of G is said to be a complete Hall σ-set of G if every member ≠1 of ℋ is a Hall σi-subgroup of G for some i ∈ I and ℋ contains exactly one Hall ...
Viktoria S. Zakrevskaya
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The Dade group of a finite group
Journal of Pure and Applied Algebra, 2013 Let \(kG\) be the group algebra of a finite group \(G\) over an algebraically closed field \(k\) of characteristic \(p>0\). The author introduces the Dade group \(D(G)\) of \(G\), a generalization of the well-known Dade group of a finite \(p\)-group.
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On splitting in finite groups [PDF]
Proceedings of the American Mathematical Society, 1978 A splitting criterion due to Šemetkov yields complements to residual normal subgroups in finite solvable groups, as well as splitting conditions for nonsolvable groups.
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