Results 111 to 120 of about 4,317 (227)
Some sufficient conditions of a nilpotent group
, 1992 In this present paper, the author, on the basis of Su's article (Math. Mag.
Wang, Pinchao
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Action of Reflection Groups on Nilpotent Groups
European Journal of Combinatorics, 1997 Let \(G\) be a group generated by a set \(X\) of involutions, such that \(o(xy)\in\{1,2,3\}\) for all \(x,y\in X\). The diagram \(\Gamma\) of \(X\) is the graph on \(X\) with the property that \(x,y\in X\) are joined by an edge iff \(o(xy)=3\). If \(G\) acts on a group \(M\), then \(M\) is called a \((G,X)\)-group provided that \([x,M]\leq C_M(y)\) for
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Group rings with FC-nilpotent unit groups
, 2021 Let U(RG) be the unit group of the group ring RG. Groups G such that U(RG) is FC-nilpotent are determined, where R is the ring of integers Z or a field K of characteristic ...
Bist, Vikas
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Finite Matrix Groups over Nilpotent Group Rings
, 1996 We study groups of matricesSGLn(ZΓ) of augmentation one over the integral group ring ZΓ of a nilpotent group Γ. We relate the torsion ofSGLn(ZΓ) to the torsion of Γ. We prove that all abelianp-subgroups ofSGLn(ZΓ) can be stably diagonalized.
Marciniak, Zbigniew S. +1 more
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Controllability of affine control systems on graded Lie groups
Kuwait Journal of Science, 2015 This paper is concerned with an affine control system on a manifold which is equivalentby diffeomorphism to an invariant system on a free nilpotent Lie group, if and only if,the vector fields of the system generate graded Lie algebra and the vector ...
MEMET KULE
doaj
Symmetry, Integrability and Geometry: Methods and Applications, 2009 The discrete cocompact subgroups of the five-dimensional connected, simply connected nilpotent Lie groups are determined up to isomorphism. Moreover, we prove if G = N × A is a connected, simply connected, nilpotent Lie group with an Abelian factor A ...
Amira Ghorbel, Hatem Hamrouni
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Artinian rings with nilpotent adjoint group
, 2006 Нехай R — артинове кільце, необов'язково з одиницею, Z(R) — його центр i R⁰ — група оборотних елементів кільця R відносно операції a о b = a + b + ab. Доводиться, що приєднана група R⁰ нільпотентна та множина Z(R)+R⁰ породжує R як кільце тоді і тільки ...
Евстафьев, Р.Ю.
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Nilpotent length of a finite solvable group with a frobenius group of automorphisms
, 2014 We prove that a finite solvable group G admitting a Frobenius group FH of automorphisms of coprime order with kernel F and complement H such that [G, F] = G and C C G (F)(h) = 1 for all nonidentity elements h ∈ H, is of nilpotent length equal to the ...
Güloğlu, İsmail Şuayip +2 more
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The influence of nilpotent subgroups on the nilpotent length and derived length of a finite group [PDF]
In 1969, Dade showed that the nilpotent length of a finite soluble group is bounded in terms of the composition length of a Carter subgroup. The main aim of this thesis is to prove a dual result to this involving nilpotent injectors instead of Carter ...
Jones, Graham Robert
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Surface measure on, and the local geometry of, sub-Riemannian manifolds. [PDF]
Calc Var Partial Differ Equ, 2023 Don S, Magnani V.
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