Results 1 to 10 of about 10,802 (172)
Generation of Finite Groups of Lie Type [PDF]
Transactions of the American Mathematical Society, 1982 Let p p be an odd prime and G G a finite group of Lie type in characteristic other than p p . Fix an elementary abelian p p -subgroup of Aut ( G ) \operatorname {Aut} (G) .
G. Seitz
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Short laws for finite groups of Lie type [PDF]
Journal of the European Mathematical Society, 2018 We produce new short laws in two variables valid in finite groups of Lie type. Our result improves upon results of Kozma and the second named author, and is sharp up to logarithmic factors, for all families except possibly the Suzuki groups. We also produce short laws valid for generating pairs and random pairs in finite groups of Lie type, and ...
Henry Bradford, Andreas Thom
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Representations of finite groups of Lie type [PDF]
Bulletin of the American Mathematical Society, 1979 The representation theory of a group G over the field of complex numbers involves two problems: first, the construction of the irreducible representations of G; and second, the problem of expressing each suitably restricted complex valued function on G ...
C. Curtis
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4 pedicle screw mono-segment versus 6 pedicle screw short-segment fixation in the treatment of thoracolumbar endplate fractures: finite element analysis and clinical follow-up [PDF]
Frontiers in Bioengineering and BiotechnologyObjectiveTo compare the finite element analysis and clinical follow-up of posterior 4 pedicle screw mono-segment and 6 pedicle screw short-segment pedicle screw fixation techniques in the treatment of thoracolumbar endplate fractures of the spine ...
Kai He +4 more
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Height 0 characters of finite groups of Lie type [PDF]
Representation Theory of the American Mathematical Society, 2007 We give a classification of irreducible characters of finite groups of Lie type of p ′ p’ -degree, where p p is any prime different from the defining characteristic, in terms of local data. More precisely, we give a classification in terms of data related to the normalizer of a suitable Levi subgroup,
G. Malle
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Representations of Finite Groups of Lie Type [PDF]
, 1991 This book is based on a graduate course taught at the University of Paris. The authors aim to treat the basic theory of representations of finite groups of Lie type, such as linear, unitary, orthogonal and symplectic groups. They emphasise the Curtis–Alvis duality map and Mackey's theorem and the results that can be deduced from it.
François Digne, Jean Michel
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Irredundant bases for finite groups of Lie type [PDF]
Pacific Journal of Mathematics, 2022 We prove that the maximum length of an irredundant base for a primitive action of a finite simple group of Lie type is bounded above by a function which is a polynomial in the rank of the group.
Nick Gill, M. Liebeck
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Alperin weight conjecture and related developments
Bulletin of Mathematical Sciences, 2022 The Alperin weight conjecture is central to the modern representation theory of finite groups, and it is still open, despite many different approaches from different points of view.
Zhicheng Feng, Jiping Zhang
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The generalized Gelfand–Graev characters of GLn(Fq) [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 Introduced by Kawanaka in order to find the unipotent representations of finite groups of Lie type, gener- alized Gelfand–Graev characters have remained somewhat mysterious. Even in the case of the finite general linear groups, the combinatorics of their
Scott Andrews, Nathaniel Thiem
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The maximal size of a minimal generating set
Forum of Mathematics, Sigma, 2023 A generating set for a finite group G is minimal if no proper subset generates G, and $m(G)$ denotes the maximal size of a minimal generating set for G. We prove a conjecture of Lucchini, Moscatiello and Spiga by showing that there exist $a,b>
Scott Harper
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