Results 11 to 20 of about 518 (187)
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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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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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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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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Mathematics, 2018 In this paper, we introduce a new definition for nilpotent fuzzy subgroups, which is called the good nilpotent fuzzy subgroup or briefly g-nilpotent fuzzy subgroup.
Elaheh Mohammadzadeh, Rajab Ali Borzooei
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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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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 ${\cal P}$.
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Formalized Mathematics, 2010 Nilpotent Groups This article describes the concept of the nilpotent group and some properties of the nilpotent groups.
Li, Dailu, Liang, Xiquan, Men, Yanhong
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Pseudocomplete nilpotent groups [PDF]
Proceedings of the American Mathematical Society, 1983 Semicomplete nilpotent groups, that is, nilpotent groups with no outer automorphisms, have been of interest for many years. In this paper pseudocomplete nilpotent groups, that is, nilpotent groups in which the automorphism group and the inner automorphism group are isomorphic (not equal), are constructed.
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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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