Results 11 to 20 of about 8,161 (245)
Expansion in finite simple groups of Lie type [PDF]
Journal of the European Mathematical Society, 2015 We show that random Cayley graphs of finite simple (or semisimple) groups of Lie type of fixed rank are expanders. The proofs are based on the Bourgain-Gamburd method and on the main result of our companion paper [BGGT].
Emmanuel Breuillard +3 more
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Proof of the universal density of charged states in QFT
Journal of High Energy Physics, 2021 We prove a recent conjecture by Harlow and Ooguri concerning a universal formula for the charged density of states in QFT at high energies for global symmetries associated with finite groups. An equivalent statement, based on the entropic order parameter
Javier M. Magán
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Mathematics, 2023 The factorization of groups into a Zappa–Szép product, or more generally into a k-fold Zappa–Szép product of its subgroups, is an interesting problem, since it eases the multiplication of two elements in a group and has recently been applied to public ...
Robert Shwartz, Hadas Yadayi
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ON SOME VERTEX-TRANSITIVE DISTANCE-REGULAR ANTIPODAL COVERS OF COMPLETE GRAPHS
Ural Mathematical Journal, 2022 In the present paper, we classify abelian antipodal distance-regular graphs \(\Gamma\) of diameter 3 with the following property: \((*)\) \(\Gamma\) has a transitive group of automorphisms \(\widetilde{G}\) that induces a primitive almost simple ...
Ludmila Yu. Tsiovkina
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Unramified Cohomology of Finite Groups of Lie Type [PDF]
, 2009 We prove vanishing results for unramified stable cohomology of finite groups of Lie type.
Bogomolov, Fedor +2 more
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On the Lie algebra of a finite group of Lie type
Journal of Algebra, 1982 In this paper we study a certain finite Lie algebra, g, associated with a finite group of Lie type, G. The maximal tori of g are determined (assuming certain characteristic restrictions), and it is shown that the number of Gorbits of these depends only on the Weyl group.
Kaneda, Masaharu, Seitz, Gary M
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Some Results on Equivalence Groups
Journal of Applied Mathematics, 2012 The comparison of two common types of equivalence groups of differential equations is discussed, and it is shown that one type can be identified with a subgroup of the other type, and a case where the two groups are isomorphic is exhibited.
J. C. Ndogmo
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The Existence of Triple Factorizations for Sporadic Groups of Rank 3
Моделирование и анализ информационных систем, 2015 A finite group G with proper subgroups A and B has triple factorization G = ABA if every element g of G can be represented as g = aba0 , where a and a 0 are from A and b is from B.
L. S. Kazarin +2 more
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$A_{1}$-TYPE SUBGROUPS CONTAINING REGULAR UNIPOTENT ELEMENTS
Forum of Mathematics, Sigma, 2019 Let $G$ be a simple exceptional algebraic group of adjoint type over an algebraically closed field of characteristic $p>0$ and let $X=\text{PSL}_{2}(p)$ be a subgroup of $G$ containing a regular unipotent element $x$ of $G$. By a theorem of Testerman, $x$
TIMOTHY C. BURNESS, DONNA M. TESTERMAN
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Continuous Homomorphisms Defined on (Dense) Submonoids of Products of Topological Monoids
Axioms, 2020 We study the factorization properties of continuous homomorphisms defined on a (dense) submonoid S of a Tychonoff product D = ∏ i ∈ I D i of topological or even topologized monoids.
Mikhail Tkachenko
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