Results 11 to 20 of about 331 (55)

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
core   +1 more source

COMPUTING IMAGES OF GALOIS REPRESENTATIONS ATTACHED TO ELLIPTIC CURVES

Forum of Mathematics, Sigma, 2016
Let $E$ be an elliptic curve without complex multiplication (CM) over a number field $K$
ANDREW V. SUTHERLAND
doaj   +1 more source

Extending characters from Hall subgroups.

Documenta Mathematica, 2011
Suppose that G is a finite π-separable group. A classical result asserts that all irreducible characters of a Hall π-subgroup H of G extend to G if and only if H has a normal complement in G.
G. Malle, G. Navarro
semanticscholar   +1 more source

ChevLie: Constructing Lie algebras and Chevalley groups

, 2020
We present ChevLie-1.1, a module for Julia and, ultimately, the emerging OSCAR system. It provides functions for constructing simple Lie algebras and the corresponding Chevalley groups (of adjoint or other types), using a recently established approach ...
M. Geck
semanticscholar   +1 more source

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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On the unipotent support of character sheaves [PDF]

, 2008
Let $G$ be a connected reductive group over $F_q$, where $q$ is large enough and the center of $G$ is connected. We are concerned with Lusztig's theory of {\em character sheaves}, a geometric version of the classical character theory of the finite group $
Geck, Meinolf, Hézard, David
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Orthogonality relations for deep level Deligne–Lusztig schemes of Coxeter type

Forum of Mathematics, Sigma
In 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
doaj   +1 more source

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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Picky elements, subnormalisers, and character correspondences

Forum of Mathematics, Sigma
We 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
doaj   +1 more source

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
core   +1 more source