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Analytic left algebraic groups. II [PDF]

Transactions of the American Mathematical Society, 1977
An analytic left algebraic group is a complex analytic group carrying a structure of affine algebraic variety such that left translations by fixed elements are morphisms. The core of such a group is the (algebraic) subgroup of all elements such that right translation by them is a morphism.
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Generic stabilizers for simple algebraic groups acting on orthogonal and symplectic Grassmannians

Forum of Mathematics, Sigma
We consider faithful actions of simple algebraic groups on self-dual irreducible modules and on the associated varieties of totally singular subspaces, under the assumption that the dimension of the group is at least as large as the dimension of the ...
Aluna Rizzoli
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Algebraic Properties of Curvature Operators in Lorentzian Manifolds with Large Isometry Groups

Symmetry, Integrability and Geometry: Methods and Applications, 2010
Together with spaces of constant sectional curvature and products of a real line with a manifold of constant curvature, the socalled Egorov spaces and ε-spaces exhaust the class of n-dimensional Lorentzian manifolds admitting a group of isometries of ...
Giovanni Calvaruso, Eduardo García-Río
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Algebraic groups as automorphism groups of algebras

, 2020
We show that every algebraic group scheme over a field with at least 8 elements can be realized as the group of automorphisms of a nonassociative algebra. This is only a modest improvement of the theorem of Gordeev and Popov (2003), but it allows us to give a new characterization of algebraic Lie algebras and to simplify the standard descriptions of ...
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Soft n-Ary Subgroups

Fuzzy Information and Engineering, 2015
Soft set theory plays a vital role in solving many complicated problems with inherited uncertainty. An n-ary algebraic systems is a generalization of algebraic structures and it is the most natural way for the further development, deeper understanding of
D.R. Prince Williams, Arsham Borumand Saeid, Feng Feng   +2 more
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On finite arithmetic groups [PDF]

International Journal of Group Theory, 2013
Let $F$ be a finite extension of $Bbb Q$, ${Bbb Q}_p$ or a globalfield of positive characteristic, and let $E/F$ be a Galois extension.We study the realization fields offinite subgroups $G$ of $GL_n(E)$ stable under the naturaloperation of the Galois ...
Dmitry Malinin
doaj  

Ample Groupoids, Topological Full groups, Algebraic K-theory Spectra and Infinite Loop Spaces

Forum of Mathematics, Pi
Inspired by work of Szymik and Wahl on the homology of Higman–Thompson groups, we establish a general connection between ample groupoids, topological full groups, algebraic K-theory spectra and infinite loop spaces, based on the construction of small ...
Xin Li
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POLYCYCLIC GROUPS, ANALYTIC GROUPS AND ALGEBRAIC GROUPS

Proceedings of the London Mathematical Society, 2002
A group \(G\) is poly-(infinite cyclic) if it has a finite subnormal series \(G=G_n\geq G_{n-1}\geq\cdots\geq G_1\geq G_0=1\) such that each quotient \(G_i/G_{i-1}\) is infinite cyclic. A basis for a poly-(infinite cyclic) group is a sequence of elements \((x_1,\dots,x_n)\) such that \(G_i=(x_1,\dots,x_i)\).
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Structure and Combinatorics on Right Groups

Mathematics
Right groups form an important bridge between group theory and semigroup theory, combining the algebraic symmetry of groups with the one-sided structure of right zero semigroups.
Aftab Hussain Shah, Dilawar Juneed Mir, Bana Al Subaiei   +2 more
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BOREL DENSITY FOR APPROXIMATE LATTICES

Forum of Mathematics, Sigma, 2019
We extend classical density theorems of Borel and Dani–Shalom on lattices in semisimple, respectively solvable algebraic groups over local fields to approximate lattices.
MICHAEL BJÖRKLUND, TOBIAS HARTNICK, THIERRY STULEMEIJER   +2 more
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