Results 31 to 40 of about 9,591,284 (211)
On almost finitely generated nilpotent groups
International Journal of Mathematics and Mathematical Sciences, 1996 A nilpotent group G is fgp if Gp, is finitely generated (fg) as a p-local group for all primes p; it is fg-like if there exists a nilpotent fg group H such that Gp≃Hp for all primes p.
Peter Hilton, Robert Militello
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On some groups whose subnormal subgroups are contranormal-free [PDF]
International Journal of Group TheoryIf $G$ is a group, a subgroup $H$ of $G$ is said to be contranormal in $G$ if $H^G = G$, where $H^G$ is the normal closure of $H$ in $G$. We say that a group is contranormal-free if it does not contain proper contranormal subgroups.
Leonid Kurdachenko +2 more
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Quiver theories and formulae for nilpotent orbits of Exceptional algebras
Journal of High Energy Physics, 2017 We treat the topic of the closures of the nilpotent orbits of the Lie algebras of Exceptional groups through their descriptions as moduli spaces, in terms of Hilbert series and the highest weight generating functions for their representation content.
Amihay Hanany, Rudolph Kalveks
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Multilinear cryptography using nilpotent groups [PDF]
, 2020 In this paper, we develop a novel idea of multilinear cryptosystem using nilpotent group ...
Kahrobaei, Delaram +5 more
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Some Residual Properties of Finite Rank Groups
Моделирование и анализ информационных систем, 2014 The generalization of one classical Seksenbaev theorem for polycyclic groups is obtained. Seksenbaev proved that if G is a polycyclic group which is residually finite p-group for infinitely many primes p, it is nilpotent. Recall that a group G is said to
D. N. Azarov
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Proceedings - Mathematical Sciences, 2014 Let \(G\) be a group, let \(A=\Aut(G)\) and consider the descending series \(G,K_1(G),K_2(G),\dots,K_m(G),\ldots\), where \(K_m(G)=[K_{m-1}(G), A]\). Whenever \(K_m=1\) for some positive integer \(m\), the authors call \(G\) an \(A\)-nilpotent group. It is clear that if \(G\) is \(A\)-nilpotent, then \(A\) is nilpotent, being the stability group of the
Nasrabadi, Mohammad Mehdi +1 more
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Probabilistically-like nilpotent groups
, 2022 The main goal of the paper is to present a general model theoretic framework to understand a result of Shalev on probabilistically finite nilpotent groups.
Palacín Cruz, Daniel, Daniel Palacín
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Equations in nilpotent groups [PDF]
Proceedings of the American Mathematical Society, 2015 We show that there exists an algorithm to decide any single equation in the Heisenberg group in finite time. The method works for all two-step nilpotent groups with rank-one commutator, which includes the higher Heisenberg groups. We also prove that the decision problem for systems of equations is unsolvable in all non-abelian free nilpotent groups.
Duchin, Moon +2 more
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The t-Fibonacci sequences in the 2-generator p-groups of nilpotency class 2 [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 In this paper, we consider the 2-generator p-groups of nilpotency class 2. We will discuss the lengths of the periods of the t-Fibonacci sequences in these groups.
Elahe Mehraban +2 more
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Finite p′-nilpotent groups. II
International Journal of Mathematics and Mathematical Sciences, 1987 In this paper we continue the study of finite p′-nilpotent groups that was started in the first part of this paper. Here we give a complete characterization of all finite groups that are not p′-nilpotent but all of whose proper subgroups are p′-nilpotent.
S. Srinivasan
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