Results 51 to 60 of about 9,042,434 (209)
Ricci-flat and Einstein pseudoriemannian nilmanifolds
Complex Manifolds, 2019 This is partly an expository paper, where the authors’ work on pseudoriemannian Einstein metrics on nilpotent Lie groups is reviewed. A new criterion is given for the existence of a diagonal Einstein metric on a nice nilpotent Lie group.
Conti Diego, Rossi Federico A.
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Holographic duals of 6d RG flows
Journal of High Energy Physics, 2019 A notable class of superconformal theories (SCFTs) in six dimensions is parameterized by an integer N , an ADE group G, and two nilpotent elements μ L,R in G. Nilpotent elements have a natural partial ordering, which has been conjectured to coincide with
G. Bruno De Luca +3 more
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On Finite Nilpotent Groups [PDF]
Canadian Journal of Mathematics, 1960 It is well known that if (n, ϕ(n)) = 1, where ϕ(n) denotes the Euler ϕ function, then the only group of order n is the cyclic group. This is a special case of a more general result due to Dickson (2, p. 201); namely, ifwhere the pi are distinct primes and each αi > 0, the necessary and sufficient conditions that the only groups of order n are ...
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Functional equations for zeta functions of groups and rings [PDF]
, 2010 We introduce a new method to compute explicit formulae for various zeta functions associated to groups and rings. The specific form of these formulae enables us to deduce local functional equations. More precisely, we prove local functional equations for
Voll, C., Voll, Christopher
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Probabilistically-like nilpotent groups
, 2022 The main goal of the paper is to present a general model theoretic framework to understand a result of Shalev on probabilistically finite nilpotent groups.
Palacín Cruz, Daniel
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Computing in Nilpotent Matrix Groups [PDF]
LMS Journal of Computation and Mathematics, 2006 AbstractWe present algorithms for testing nilpotency of matrix groups over finite fields, and for deciding irreducibility and primitivity of nilpotent matrix groups. The algorithms also construct modules and imprimitivity systems for nilpotent groups.
A. S. Detinko, Dane L. Flannery
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Compact Manifolds With Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT It follows from the work of Kapovitch and Wilking that a closed manifold with nonnegative Ricci curvature has a uniformly almost nilpotent fundamental group. Leftover questions and conjectures, have asked if in this context the fundamental group is actually uniformly almost abelian. The main goal of this work is to construct examples (Mk9,gk)$(
Elia Bruè, Aaron Naber, Daniele Semola
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Group algebras whose unit group is locally nilpotent [PDF]
, 2020 https://www.cambridge.org/core/journals/journal-of-the-australian-mathematical-society/article/abs/group-algebras-whose-unit-group-is-locally-nilpotent/482C5F244EBD8211FAFC0A920468E758Abstract.
Бовді Віктор +2 more
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Almost nilpotent Lie algebras [PDF]
, 1987 Throughout we shall consider only finite-dimensional Lie algebras over a field of characteristic zero. In [3] it was shown that the classes of solvable and of supersolvable Lie algebras of dimension greater than two are characterised by the structure of ...
Towers, David
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Journal of Algebra, 1995 Let \(D\) be a division ring, \(V\) a vector space over \(D\) of infinite dimension. Say that an element \(g \in \text{GL} (V)\) is cofinitary if \(\dim_D C_V (g)\) is finite. A subgroup \(G \leq \text{GL} (V)\) is called cofinitary if all its non-trivial elements are cofinitary.
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