Results 31 to 40 of about 75,899 (224)
Fitting quotients of finitely presented abelian-by-nilpotent groups [PDF]
, 2013 We show that every finitely generated nilpotent group of class 2 occurs as the quotient of a finitely presented abelian-by-nilpotent group by its largest nilpotent normal subgroup.Comment: This second version takes into account the suggestions by the ...
Groves, J. R. J., Strebel, Ralph
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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 ...
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Strongly Ad-Nilpotent Elements of the Lie Algebra of Upper Triangular Matrices
Journal of Mathematics, 2022 In this paper, the strongly ad-nilpotent elements of the Lie algebra tn,ℂ of upper triangular complex matrices are studied. We prove that all the nilpotent matrices in tn,ℂ are strongly ad-nilpotent if and only if n≤6. Additionally, we prove that all the
Zhiguang Hu
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Математичні Студії, 2021 We investigate a few special decompositions in arbitrary rings and matrix rings over indecomposable rings into nilpotent and idempotent elements. Moreover, we also define and study the nilpotent sum trace number of nilpotent matrices over an arbitrary ...
P.V. Danchev
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Coclass theory for nilpotent semigroups via their associated algebras [PDF]
, 2012 Coclass theory has been a highly successful approach towards the investigation and classification of finite nilpotent groups. Here we suggest a similar approach for finite nilpotent semigroups.
Andreas Distler +10 more
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Cosmology with nilpotent superfields [PDF]
Journal of High Energy Physics, 2014 28 pages, no ...
Sergio Ferrara +3 more
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Some results on schur multiplier of pairs of groups [PDF]
Mathematics and Computational Sciences, 2021 In this paper , we study the concept of the c-nilpotent multiplier of a pair of groups and prove that the c-nilpotent multipliers of perfect pairs of groups are isomorphic .Also, we prove an inequality for the order of the Schur multiplier of a pair of ...
H Arabyani
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Potentially nilpotent patterns and the Nilpotent-Jacobian method
Linear Algebra and its Applications, 2012 12 ...
Adam Van Tuyl +2 more
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On Some Residual Properties of the Verbal Embeddings of Groups [PDF]
Advances in Group Theory and Applications, 2016 We consider verbal embedding constructions preserving some residual properties for groups. An arbitrary residually finite countable group $H$ has a $V$-verbal embedding into a residually finite $2$-generator group $G$ for any non-trivial word set $V$. If
Vahagn H. Mikaelian
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An Engel condition for orderable groups [PDF]
, 2014 Let m,n be positive integers, v a multilinear commutator word and w=v^m. We prove that if G is an orderable group in which all w-values are n-Engel, then the verbal subgroup v(G) is locally nilpotent.
Shumyatsky, P., Tortora, A., Tota, M.
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