Results 41 to 50 of about 46,813 (198)
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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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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Nilpotent Groups Acting on Abelian Groups [PDF]
Proceedings of the American Mathematical Society, 1993 In this paper, we study certain properties of the group ring of a nilpotent group which are related to commutativity and conjugation. We establish some relations involving conjugates of the elements of the group ring; these relations are then used to get a better understanding of torsion in abelian-by-nilpotent groups; we shall see notably that given ...
Cassidy, Charles, Laberge, Guy
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Extensions of Johnson's and Morita's homomorphisms that map to finitely generated abelian groups
, 2009 We extend each higher Johnson homomorphism to a crossed homomorphism from the automorphism group of a finite-rank free group to a finite-rank abelian group. We also extend each Morita homomorphism to a crossed homomorphism from the mapping class group of
Corwin L. J. +2 more
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Locally Nilpotent Linear Groups
Irish Mathematical Society Bulletin, 2005 We survey aspects of locally nilpotent linear groups. Then we obtain a new classification; namely, we classify the irreducible maximal locally nilpotent subgroups of $\mathrm{GL}(q, \mathbb F)$ for prime $q$ and any field $\mathbb F$.
Detinko, A. S., Flannery, D. L.
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The Natural Components of a Regular Linear System
Oxford Bulletin of Economics and Statistics, EarlyView.ABSTRACT The analysis of a finite‐dimensional regular linear system may be simplified by separating the system into its natural components. The natural components are smaller linear systems on separate subspaces whose dimensions sum to the dimension of the original linear system.
Brendan K. Beare, Phil Howlett
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Automorphisms fixing every normal subgroup of a nilpotent-by-abelian group
, 2007 Among other things, we prove that the group of automorphisms fixing every normal subgroup of a nilpotent-by-abelian group is nilpotent-by-metabelian. In particular, the group of automorphisms fixing every normal subgroup of a metabelian group is soluble ...
Endimioni, G.
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Coulomb branch algebras via symplectic cohomology
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract Let (M¯,ω)$(\bar{M}, \omega)$ be a compact symplectic manifold with convex boundary and c1(TM¯)=0$c_1(T\bar{M})=0$. Suppose that (M¯,ω)$(\bar{M}, \omega)$ is equipped with a convex Hamiltonian G$G$‐action for some connected, compact Lie group G$G$.
Eduardo González +2 more
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An extended definition of Anosov representation for relatively hyperbolic groups
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract We define a new family of discrete representations of relatively hyperbolic groups which unifies many existing definitions and examples of geometrically finite behavior in higher rank. The definition includes the relative Anosov representations defined by Kapovich–Leeb and Zhu, and Zhu–Zimmer, as well as holonomy representations of various ...
Theodore Weisman
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The Existence of pblocks of Defect 0 in a Finite Groups with Some Subgroups Being Seminormal
Journal of Harbin University of Science and Technology, 2020 By studying homogeneous polynomials related to groups, the complex index of finite groups is defined.The theory of complex index and its complex representation has been developed and perfected quickly So people began to consider the representation of ...
WANG Hong, QIAN Fangsheng
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