Results 21 to 30 of about 9,591,284 (211)
On some commutative invariants of modules over minimax nilpotent groups
Доповiдi Нацiональної академiї наук України, 2022 In the paper we introduce a finite system of invariants for modules over minimax nilpotent groups which consists of classes of equivalent prime ideals of the group algebra of an Abelian minimax group. In particuly, introduced system of invariants allows
A.V. Tushev
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Engel Conditions for Soluble and Pronilpotent Groups [PDF]
Advances in Group Theory and Applications, 2022 Let G be a finitely generated pronilpotent group in which for any elements x, y ∈ G there are positive integers n = n(x, y) and q = q(x, y) such that [x, n y^q] = 1. We show that G is virtually nilpotent.
Pavel Shumyatsky, Wállef da Silva
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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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Endomorphism kernel property for finite groups [PDF]
Mathematica Bohemica, 2022 A group $G$ has the endomorphism kernel property (EKP) if every congruence relation $\theta$ on $G$ is the kernel of an endomorphism on $G$. In this note we show that all finite abelian groups have EKP and we show infinite series of finite non-abelian ...
Heghine Ghumashyan, Jaroslav Guričan
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Nilpotent subspaces of maximal dimension in semisimple Lie algebras [PDF]
, 2006 We show that a linear subspace of a reductive Lie algebra g that consists of nilpotent elements has dimension at most equal to the number of positive roots, and that any nilpotent subspace attaining this upper bound is equal to the nilradical of a Borel ...
Kraft, Hanspeter +5 more
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Computing nilpotent quotients in finitely presented Lie rings [PDF]
Discrete Mathematics & Theoretical Computer Science, 1997 A nilpotent quotient algorithm for finitely presented Lie rings over Z (and Q) is described. The paper studies the graded and non-graded cases separately.
Csaba Schneider
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The Electronic Journal of Combinatorics, 2006 Let $N$ be a nilpotent group normal in a group $G$. Suppose that $G$ acts transitively upon the points of a finite non-Desarguesian projective plane ${\cal P}$. We prove that, if ${\cal P}$ has square order, then $N$ must act semi-regularly on ${\cal P}$.
openaire +5 more sources
From Groups to Leibniz Algebras: Common Approaches, Parallel Results [PDF]
Advances in Group Theory and Applications, 2018 In this article, we study (locally) nilpotent and hyper-central Leibniz algebras. We obtained results similar to those in group theory. For instance, we proved a result analogous to the Hirsch-Plotkin Theorem for locally nilpotent groups.
L.A. Kurdachenko +2 more
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On the permutability of Sylow subgroups with derived subgroups of B-subgroups
Журнал Белорусского государственного университета: Математика, информатика, 2019 A finite non-nilpotent group G is called a B-group if every proper subgroup of the quotient group G/Φ(G) is nilpotent. We establish the r-solvability of the group in which some Sylow r-subgroup permutes with the derived subgroups of 2-nilpotent (or 2 ...
Ekaterina V. Zubei
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A virtually 2-step nilpotent group with polynomial geodesic growth [PDF]
, 2022 A direct consequence of Gromov's theorem is that if a group has polynomial geodesic growth with respect to some finite generating set then it is virtually nilpotent. However, until now the only examples known were virtually abelian.
Bishop, A, Elder, M
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