Results 21 to 30 of about 10,901 (271)
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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Character bounds for finite groups of Lie type [PDF]
, 2017 We establish new bounds on character values and character ratios for finite groups $G$ of Lie type, which are considerably stronger than previously known bounds, and which are best possible in many cases. These bounds have the form $|\chi(g)| \le \chi(1)^
R. Bezrukavnikov +3 more
semanticscholar +1 more source
On characterization by Gruenberg–Kegel graph of finite simple exceptional groups of Lie type [PDF]
European Journal of Mathematics, 2023 The Gruenberg–Kegel graph (or the prime graph) $$\Gamma (G)$$ Γ ( G ) of a finite group G is the graph whose vertex set is the set of prime divisors of | G | and in which two distinct vertices r and s are adjacent if and only if there exists an element ...
N. Maslova, V. V. Panshin, A. Staroletov
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Additive polynomials for finite groups of Lie type [PDF]
Israel Journal of Mathematics, 2011 This paper provides a realization of all classical and most exceptional finite groups of Lie type as Galois groups over function fields over F_q and derives explicit additive polynomials for the extensions. Our unified approach is based on results of Matzat which give bounds for Galois groups of Frobenius modules and uses the structure and ...
Albert, Maximilian, Maier, Annette
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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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Endotrivial modules for finite groups of Lie type [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 2006 If \(k\) is a field of characteristic \(p>0\), an endotrivial module of a group is a finitely generated module whose \(k\)-endomorphism ring is isomorphic to a trivial module in the stable category. This paper discusses the groups of endotrivial modules of finite groups, in particular, of Lie type and proves that Alperin's theorem holds on the rank of ...
Carlson, Jon +2 more
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Almost cyclic elements in cross-characteristic representations of finite groups of Lie type [PDF]
Journal of group theroy, 2018 This paper is a significant contribution to a general programme aimed to classify all projective irreducible representations of finite simple groups over an algebraically closed field, in which the image of at least one element is represented by an ...
L. Di Martino +2 more
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Defect groups for finite groups of Lie type
Mathematische Zeitschrift, 1971 J. Humphreys
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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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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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