Results 61 to 70 of about 96,933 (288)
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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On Nilpotent Multipliers of Pairs of Groups [PDF]
Mathematics Interdisciplinary Research, 2020 In this paper, we determine the structure of the nilpotent multipliers of all pairs (G,N) of finitely generated abelian groups where N admits a complement in G. Moreover, some inequalities for the nilpotent multipliers of pairs of finite groups and their
Azam Hokmabadi +2 more
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Quantum Cluster Algebra Structures on Quantum Nilpotent Algebras
, 2017 All algebras in a very large, axiomatically defined class of quantum nilpotent algebras are proved to possess quantum cluster algebra structures under mild conditions.
K. Goodearl, M. Yakimov
semanticscholar +1 more source
Knapsack problem for nilpotent groups [PDF]
Groups Complex. Cryptol., 2016 In this work we investigate the group version of the well known knapsack problem in the class of nilpotent groups. The main result of this paper is that the knapsack problem is undecidable for any torsion-free group of nilpotency class 2 if the rank of ...
A. Mishchenko, A. Treier
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Studia Mathematica, 2005 We give several necessary and sucien t conditions in order that a bounded linear operator on a Banach space be nilpotent. We also discuss three necessary conditions for nilpotency. Furthermore, we construct an innite family (in one-to-one correspondence with the square-summable sequences ("n)n2N of strictly positive real numbers) of non- nilpotent ...
openaire +3 more sources
ON NILPOTENT POWER SERIES WITH NILPOTENT COEFFICIENTS [PDF]
Korean Journal of Mathematics, 2013 Antoine studied conditions which are connected to the question of Amitsur of whether or not a polynomial ring over a nil ring is nil, introducing the notion of nil-Armendariz rings. Hizem ex- tended the nil-Armendariz property for polynomial rings onto power- series rings, say nil power-serieswise rings .
Tai Keun Kwak, Yang Lee
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Groups with triangle‐free graphs on p$p$‐regular classes
Mathematische Nachrichten, EarlyView.Abstract Let p$p$ be a prime. In this paper, we classify the p$p$‐structure of those finite p$p$‐separable groups such that, given any three non‐central conjugacy classes of p$p$‐regular elements, two of them necessarily have coprime lengths.
M. J. Felipe +2 more
wiley +1 more source
Refined solvable presentations for polycyclic groups [PDF]
International Journal of Group Theory, 2012 We describe a new type of presentation that, when consistent, describes a polycyclic group. This presentation is obtained by re ning a series of normal subgroups with abelian sections.
René Hartung, Gunnar Traustason
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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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Frattinian nilpotent Lie algebras [PDF]
arXiv, 2022 We introduce a novel concept Frattinian nilpotent Lie algebra. Along with some examples, we show that every Frattinian nilpotent Lie algebra has a central decomposition of its ideals.
arxiv