2 articles for “Nilpotent Class”

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Research ArticleOpen accessEvery word in the titleAn Upper Bound to the Number of Conjugacy Classes of Non-Abelian Nilpotent GroupsBilal Al-Hasanat, Awni Al-Dababseh, E. Al-Sarairah et al.The number of conjugacy classes of symmetric group, dihedral group and some nilpotent groups is obtained. Until now, it has not been obtained for all nilpotent groups. Although there are some lower bounds to this value, there is no non-trivial upper bound. This paper aims to investigate an upper bound to this number for all finite nilpotent groups. Moreover, the … …Journal of Mathematics and Statistics, Vol. 13, Issue 2 · 23 May 2017 · 7,549 accessesView PDF Cite

Research ArticleOpen accessIn the abstractNilpotence and the Generalized Uncertainty Principle (S)Nikos KalogeropoulosWe point out that some of the proposed generalized/modified uncertainty principles originate from solvable, or nilpotent at appropriate limits, &#34deformations&#34 of Lie algebras. We briefly comment on formal aspects related to the well-posedness of one of these algebras. We point out a potential relation of such algebras with Classical Mechanics in the spirit of the symplectic non-squeezing theorem. We also … …Space Science International, Vol. 1, Issue 2 · 23 Jan 2014 · 7,308 accessesView PDF Cite