Results 21 to 30 of about 8,161 (245)
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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Isometries in finite groups of Lie type
Journal of Algebra, 1973 Publisher Summary This chapter discusses the isometries in finite groups of lie type. Let G be a connected semisimple linear algebraic group and σ a surjective endomorphism of G, such that the group of fixed points G σ = G is finite. Then G is a finite group of Lie type. Let T be a maximal torus of G fixed by σ and T = T, H = N G (T), H/T = W. Then T
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GENERATION OF SECOND MAXIMAL SUBGROUPS AND THE EXISTENCE OF SPECIAL PRIMES
Forum of Mathematics, Sigma, 2017 Let $G$ be a finite almost simple group. It is well known that $G$
TIMOTHY C. BURNESS +2 more
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THE BERNSTEIN CENTER OF THE CATEGORY OF SMOOTH $W(k)[\text{GL}_{n}(F)]$ -MODULES
Forum of Mathematics, Sigma, 2016 We consider the category of smooth $W(k)[\text{GL}_{n}(F)]$ -modules, where $F$
DAVID HELM
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Picky elements, subnormalisers, and character correspondences
Forum of Mathematics, SigmaWe gather evidence on a new local-global conjecture of Moretó and Rizo on values of irreducible characters of finite groups. For this we study subnormalisers and picky elements in finite groups of Lie type and determine them in many cases, for unipotent ...
Gunter Malle
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On the lifting theory of finite groups of Lie type [PDF]
Pacific Journal of Mathematics, 1984 Let G be a connected reductive algebraic group defined over a finite field having q elements. Let F be a corresponding Frobenius endomorphism and let \(G(q^ m)=\{g\in G: F^ m(g)=g\}\) be a finite group of Lie type where m is a positive integer. The paper is devoted to lifting theory of these finite groups, in particular to lifting theory of \(G_ 2(q)\)
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Natural Representations of Black Box Groups SL2
AxiomsIn this paper, we make one step further in the recognition of black box groups of Lie type: given a black box group encrypting a special linear group of dimension 2 over a finite field of an unknown odd characteristic, we construct a black box field and ...
Alexandre Borovik, Şükrü Yalçınkaya
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Type Synthesis of Lower Mobility Parallel Mechanisms: A Review
Chinese Journal of Mechanical Engineering, 2019 Type synthesis of mechanisms aims to systematically determine all possible structures for a specific mobility requirement. Numerous methods based on different theories were proposed for type synthesis of lower mobility parallel mechanisms in past decades.
Wei Ye, Qinchuan Li
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Advanced Engineering Materials, EarlyView.Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt +8 more
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Advanced Engineering Materials, EarlyView.Coarse‐grained (left) and atomistic (right) models of the shape memory polymer ESTANE ETE 75DT3 are shown schematically. The two representations bridge molecular detail and mesoscopic description. Both models capture shape memory behavior, linking segmental mobility and conformational relaxation of anisotropic chains to macroscopic recovery, and ...
Fathollah Varnik
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