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Perspective on Many-Body Methods for Molecular Polaritonic Systems. [PDF]
Bauman N +24 more
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Minimal Non-nilpotent and Locally Nilpotent Fusion Systems
Algebra Colloquium, 2016The main purpose of this note is to show that there is a one-to-one correspondence between minimal non-nilpotent (resp., locally nilpotent) saturated fusion systems and finite p′-core-free p-constrained minimal non-nilpotent (resp., locally p-nilpotent) groups.
Liao, Jun, Liu, Yanjun
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Locally finite coalgebras and the locally nilpotent radical I
Linear Algebra and its Applications, 2021For any coalgebra \(C\) with comultiplication \(c\to \sum c_{(1)}\otimes c_{(2)}\) one can associate the dual algebra \(C^{\ast}\). This is the dual space \(C^{\ast}\) equipped with the multiplication \({\mathfrak m}:C^{\ast}\times C^{\ast}\to C^{\ast}\) defined by \[ ({\mathfrak m}(\alpha,\beta),c)=\sum \langle \alpha,c_{(1)}\rangle\langle \beta,c_{(2)
G. Santos Filho +2 more
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Locally finite groups with a nilpotent or locally nilpotent maximal subgroup
Journal of Group Theory, 1999The authors, especially the first author, continue their study of locally nilpotent maximal subgroups of locally finite groups. Here, they prove the following: Let \(G\) be a locally finite group and \(H\) a locally nilpotent maximal subgroup of \(G\) such that \(\bigcap_{g\in G}H^g=\langle 1\rangle\). Theorem A. Suppose \(H\) is an FC-group.
Bruno, Brunella, Napolitani, Franco
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Factorization of Periodic Locally Solvable Groups by Locally Nilpotent and Nilpotent Subgroups
Ukrainian Mathematical Journal, 2001The paper continues a series of four papers of the author [see Ukr. Mat. Zh. 53, No. 4, 531-541 (2001; Zbl 0992.20016), ibid. 52, No. 6, 809-819 (2000; Zbl 0956.20012), ibid. 52, No. 7, 965-970 (2000; Zbl 0956.20038), Vopr. Algebry 11, 90-115 (1997; Zbl 0912.20023)] which deal with products of two groups.
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Mathematical Proceedings of the Cambridge Philosophical Society, 1956
1. If P is any property of groups, then we say that a group G is ‘locally P’ if every finitely generated subgroup of G satisfies P. In this paper we shall be chiefly concerned with the case when P is the property of being nilpotent, and will examine some properties of nilpotent groups which also hold for locally nilpotent groups.
D. H. McLain, P. Hall
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1. If P is any property of groups, then we say that a group G is ‘locally P’ if every finitely generated subgroup of G satisfies P. In this paper we shall be chiefly concerned with the case when P is the property of being nilpotent, and will examine some properties of nilpotent groups which also hold for locally nilpotent groups.
D. H. McLain, P. Hall
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Local analytic integrability for nilpotent centers
Ergodic Theory and Dynamical Systems, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chavarriga, Javier +3 more
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A (locally nilpotent)-by-nilpotent variety of groups
Mathematical Proceedings of the Cambridge Philosophical Society, 2002Given positive integers k and n, let [Xfr ] be the class of all groups G such that γk(G) is locally nilpotent and [x1, x2, …, xk]n = 1 for any x1, x2, …, xk ∈ G. It is shown that [Xfr ] is a variety.
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Locally Nilpotent Finitary Skew Linear Groups
Journal of the London Mathematical Society, 1994A number of division rings arising from free groups, from certain soluble groups or from certain Lie algebras are locally residually finite- dimensional in a particular sense. In two earlier papers [J. Pure Appl. Algebra 60, No. 3, 289-312 (1989; Zbl 0688.20030), Fundam. Math.
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R-localizations of nilpotent spaces
1972The main purpose of this chapter is to show that, for R⊂Q, the R-completion of the preceding chapters is a localization with respect to a set of primes, and that therefore various well-known results about localizations of simply connected spaces remain valid for nilpotent spaces (i.e. spaces for which, up to homotopy, the Postnikov tower can be refined
Aldridge K. Bousfield, Daniel M. Kan
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