Induced characters of the projective general linear group over a finite field
نویسندگان
چکیده
منابع مشابه
Induced Characters of the Projective General Linear Group over a Finite Field
Using a general result of Lusztig, we find the decomposition into irreducibles of certain induced characters of the projective general linear group over a finite field of odd characteristic.
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متن کاملcharacterization of projective general linear groups
let $g$ be a finite group and $pi_{e}(g)$ be the set of element orders of $g $. let $k in pi_{e}(g)$ and $s_{k}$ be the number of elements of order $k $ in $g$. set nse($g$):=${ s_{k} | k in pi_{e}(g)}$. in this paper, it is proved if $|g|=|$ pgl$_{2}(q)|$, where $q$ is odd prime power and nse$(g)= $nse$($pgl$_{2}(q))$, then $g cong $pgl$_
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Let M be a geometrically irreducible smooth projective variety, defined over a finite field k, such that M admits a k–rational point x0. Let ̟(M,x0) denote the corresponding fundamental group–scheme introduced by Nori. Let EG be a principal G–bundle over M , where G is a reduced reductive linear algebraic group defined over the field k. Fix a polarization ξ on M . We prove that the following thr...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2007
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2006.03.005