Results 81 to 90 of about 96,933 (288)
Homotopy colimits of nilpotent spaces [PDF]
Geom. Topol. 19 (2015) 2741-2766, 2014 We show that cellular approximations of nilpotent Postnikov stages are always nilpotent Postnikov stages, in particular classifying spaces of nilpotent groups are turned into classifying spaces of nilpotent groups. We use a modified Bousfield-Kan homology completion tower z_k X whose terms we prove are all X-cellular for any X.
arxiv +1 more source
Journal of Symbolic Computation, 1987 This paper describes a new procedure, based on string rewriting rules, for verifying that a finitely presented group G is nilpotent. If G is not nilpotent, the procedure may not terminate. A preliminary computer implementation of the procedure has been used to prove a theorem about minimal presentations of free nilpotent groups of class 3.
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Transactions of the American Mathematical Society, 1903 that is, (g'h' ) (g"h") is (g'h"') or 0 according as h' is or is not the same as g". Each class forms a sub-algebra of the algebra, the class (11) containing the idempotent basis. The class (22) may or may not contain an idempotent. If (11) contains two distinct idempotents, the process may be repeated, giving classes which we may represent by (11 ...
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Homotopy nilpotent groups [PDF]
Algebraic & Geometric Topology, 2010 We study the connection between the Goodwillie tower of the identity and the lower central series of the loop group on connected spaces. We define the simplicial theory of homotopy n-nilpotent groups. This notion interpolates between infinite loop spaces and loop spaces.
Biedermann, Georg, Dwyer, William G
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Spectra of subrings of cohomology generated by characteristic classes for fusion systems
Bulletin of the London Mathematical Society, EarlyView.Abstract If F$\mathcal {F}$ is a saturated fusion system on a finite p$p$‐group S$S$, we define the Chern subring Ch(F)${\operatorname{Ch}}(\mathcal {F})$ of F$\mathcal {F}$ to be the subring of H∗(S;Fp)$H^*(S;{\mathbb {F}}_p)$ generated by Chern classes of F$\mathcal {F}$‐stable representations of S$S$. We show that Ch(F)${\operatorname{Ch}}(\mathcal {
Ian J. Leary, Jason Semeraro
wiley +1 more source
Conjugacy classes of parabolic subalgebras in complex semi-simple lie algebras [PDF]
, 1976 For a complex semi simple Lie algebra g, Richardson's dense orbit theorem gives a map between conjugacy classes of parabolic subalgebras in g and conjugacy classes of nilpotent elements.
Johnston, D.S.
core
Privileged Coordinates and Nilpotent Approximation of Carnot Manifolds, I. General Results
, 2018 In this paper we attempt to give a systematic account on privileged coordinates and the nilpotent approximation of Carnot manifolds. By a Carnot manifold it is meant a manifold with a distinguished filtration of subbundles of the tangent bundle which is ...
Choi, Woocheol, Ponge, Raphael
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Free nilpotent and nilpotent quadratic Lie algebras
Linear Algebra and its Applications, 2017 In this paper we introduce an equivalence between the category of the t-nilpotent quadratic Lie algebras with d generators and the category of some symmetric invariant bilinear forms on the t-nilpotent free Lie algebra with d generators. Taking into account this equivalence, t-nilpotent quadratic Lie algebras with d generators are classified (up to ...
P. Benito +2 more
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On the injective dimension of unit Cartier and unit Frobenius modules
Bulletin of the London Mathematical Society, EarlyView.Abstract Let R$R$ be a regular F$F$‐finite ring of prime characteristic p$p$. We prove that the injective dimension of every unit Frobenius module M$M$ in the category of unit Frobenius modules is at most dim(SuppR(M))+1$\dim (\operatorname{Supp}_R(M))+1$.
Manuel Blickle +3 more
wiley +1 more source
Local functional equations for submodule zeta functions associated to nilpotent algebras of endomorphisms [PDF]
, 2016 We give a sufficient criterion for generic local functional equations for submodule zeta functions associated to nilpotent algebras of endomorphisms defined over number fields.
C. Voll
semanticscholar +1 more source