Results 11 to 20 of about 292 (47)
On the distribution of the density of maximal order elements in general linear groups [PDF]
, 2014 In this paper we consider the density of maximal order elements in $\mathrm{GL}_n(q)$. Fixing any of the rank $n$ of the group, the characteristic $p$ or the degree $r$ of the extension of the underlying field $\mathbb{F}_q$ of size $q=p^r$, we compute ...
Aivazidis, Stefanos, Sofos, Efthymios
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The (2,3)-generation of the special linear groups over finite fields
, 2016 We complete the classification of the finite special linear groups $\SL_n(q)$ which are $(2,3)$-generated, i.e., which are generated by an involution and an element of order $3$.
Pellegrini, Marco Antonio
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Induced Characters of Type D Weyl Groups and the Littlewood-Richardson Rule
, 2014 For any ordinary irreducible character of a maximal reflection subgroup of type $D_aD_b$ of a type $D$ Weyl group we give an explicit decomposition of the induced character in terms of Littlewood-Richardson coefficients.Comment: 8 pages; (v2) made some ...
Taylor, Jay
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Regular orbits of coprime linear groups in large characteristic
, 2017 We prove that a finite coprime linear group G in characteristic p>=(|G|-1)/2 has a regular orbit. This bound on p is best possible.
BENJAMIN SAMBALE, Hartley, Köhler
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Orthogonality relations for deep level Deligne–Lusztig schemes of Coxeter type
Forum of Mathematics, SigmaIn this paper, we prove some orthogonality relations for representations arising from deep level Deligne–Lusztig schemes of Coxeter type. This generalizes previous results of Lusztig [Lus04], and of Chan and the second author [CI21b].
Olivier Dudas, Alexander B. Ivanov
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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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Moments, Exponential Sums, and Monodromy Groups
Forum of Mathematics, SigmaWe determine the geometric monodromy groups attached to various families, both one-parameter and multi-parameter, of exponential sums over finite fields, or, more precisely, the geometric monodromy groups of the $\ell $ -adic local systems on ...
Nicholas M. Katz, Pham Huu Tiep
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The ElGamal cryptosystem over circulant matrices [PDF]
, 2011 In this paper we study extensively the discrete logarithm problem in the group of non-singular circulant matrices. The emphasis of this study was to find the exact parameters for the group of circulant matrices for a secure implementation.
Mahalanobis, Ayan
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, 2010 This is an informal announcement of results to be described and proved in detail in a paper to appear. We give various results on the structure of approximate subgroups in linear groups such as $\SL_n(k)$.
Breuillard, Emmanuel +2 more
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The simple classical groups of dimension less than 6 which are (2,3)-generated
, 2015 In this paper we determine the classical simple groups of dimension r=3,5 which are (2,3)-generated (the cases r = 2, 4 are known). If r = 3, they are PSL_3(q), q 4, and PSU_3(q^2), q^2 9, 25. If r = 5 they are PSL_5(q), for all q, and PSU_5(q^2), q^2 >
Bellani, M. C. Tamburini +1 more
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