Results 1 to 10 of about 8,161 (245)
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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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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Cohomology of finite groups of Lie type, II [PDF]
Journal of Algebra, 1975 L’acces aux archives de la revue « Publications mathematiques de l’I.H.E.S. » (http://www. ihes.fr/IHES/Publications/Publications.html), implique l’accord avec les conditions generales d’utilisation (http://www.numdam.org/legal.php). Toute utilisation commerciale ou impression systematique est constitutive d’une infraction penale.
Cline, Edward +2 more
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The Divisibility Graph of finite groups of Lie type [PDF]
Journal of Pure and Applied Algebra, 2017 The Divisibility Graph of a finite group $G$ has vertex set the set of conjugacy class lengths of non-central elements in $G$ and two vertices are connected by an edge if one divides the other. We determine the connected components of the Divisibility Graph of the finite groups of Lie type in odd characteristic.
Abdolghafourian, Adeleh +2 more
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Corrigendum to ‘Endoscopy for Hecke categories, character sheaves and representations’
Forum of Mathematics, Pi, 2021 We fix an error on a $3$ -cocycle in the original version of the paper ‘Endoscopy for Hecke categories, character sheaves and representations’. We give the corrected statements of the main results.
George Lusztig, Zhiwei Yun
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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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On a Sufficient Condition for the Existence of a Periodic Part in the Shunkov Group
Известия Иркутского государственного университета: Серия "Математика", 2017 The group $ G $ is saturated with groups from the set of groups if any a finite subgroup $ K $ of $ G $ is contained in a subgroup of $ G $, which is isomorphic to some group in $ \mathfrak{X} $.
A.A. Shlepkin
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Recognition of finite exceptional groups of Lie type [PDF]
Transactions of the American Mathematical Society, 2015 Let $q$ be a prime power and let $G$ be an absolutely irreducible subgroup of $GL_d(F)$, where $F$ is a finite field of the same characteristic as $\F_q$, the field of $q$ elements. Assume that $G \cong G(q)$, a quasisimple group of exceptional Lie type over $\F_q$ which is neither a Suzuki nor a Ree group.
Liebeck, MW, O'Brien, EA
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