Base sizes of imprimitive linear groups and orbits of general linear groups on spanning tuples
نویسندگان
چکیده
منابع مشابه
on the effect of linear & non-linear texts on students comprehension and recalling
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15 صفحه اولFinite imprimitive linear groups of prime degree
In an earlier paper the authors have classified the nonsolvable primitive linear groups of prime degree over C. The present paper deals with the classification of the nonsolvable imprimitive linear groups of prime degree (equivalently, the irreducible monomial groups of prime degree). If G is a monomial group of prime degree r, then there is a projection π of G onto a transitive group H of perm...
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Let p be a prime and G a subgroup of GLd(p). We define G to be pexceptional if it has order divisible by p, but all its orbits on vectors have size coprime to p. We obtain a classification of p-exceptional linear groups. This has consequences for a well known conjecture in representation theory, and also for a longstanding question concerning 1 2 -transitive linear groups (i.e. those having all...
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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 $pgl$_
متن کاملNSE characterization of some linear groups
For a finite group $G$, let $nse(G)={m_kmid kinpi_e(G)}$, where $m_k$ is the number of elements of order $k$ in $G$ and $pi_{e}(G)$ is the set of element orders of $G$. In this paper, we prove that $Gcong L_m(2)$ if and only if $pmid |G|$ and $nse(G)=nse(L_m(2))$, where $min {n,n+1}$ and $2^n-1=p$ is a prime number.
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ژورنال
عنوان ژورنال: Archiv der Mathematik
سال: 2016
ISSN: 0003-889X,1420-8938
DOI: 10.1007/s00013-016-0890-6