Results 211 to 220 of about 5,571,269 (248)

Prime order derangements in primitive permutation groups [PDF]

open access: yesJournal of Algebra, 2011
It is an easy exercise that any transitive permutation group \(G\) on a set \(\Omega\), \(|\Omega|\geq 2\), contains an element, which acts fixed point freely. These elements are called derangements. A much deeper result, using the classification of the finite simple groups, due to \textit{B. Fein}, \textit{W. M. Kantor} and \textit{M.
Timothy C Burness
exaly   +7 more sources

Primitive permutation groups with a regular subgroup [PDF]

open access: yesJournal of Algebra, 2007
In the present paper all triples \((G,\Omega,X)\) are determined where \(G\) is a primitive permutation group acting on a finite set \(\Omega\) and containing a regular subgroup \(X\) in the case that the socle \(\text{soc}(G)\) of \(G\) is alternating, sporadic or an exceptional group of Lie type. Many further examples \((G,\Omega,X)\) are constructed
Barbara Baumeister
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Permutation polynomials and primitive permutation groups

Archiv Der Mathematik, 1991
In 1966 L. Carlitz conjectured that for every even positive integer \(n\) there exists a constant \(c_ n\) such that for any odd \(q>c_ n\) there is no permutation polynomial of degree \(n\) over the finite field \(F_ q\) of order \(q\). This conjecture was known to hold for \(n\) a power of 2 and for all even \(n\leq 16\). In this paper the conjecture
Stephen D Cohen
exaly   +2 more sources

Primitive k-free permutation groups

open access: yesArchiv Der Mathematik, 2007
For a finite permutation group G acting on a set Ω, we say that G is k-free if the set-wise stabilizer of every k-subset of Ω is trivial.
D Bundy
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On the orders of Primitive Permutation Groups

Bulletin of the London Mathematical Society, 1980
CHERYL E. PRAEGE R AN JAD N SAXLThe proble omf bounding the order of a permutation grou G ipn terms of itsdegree n was one of the central problem of 19tsh century group theory (see [4]) It.is closely relate to thde 1860 Grand Prix proble of them Pari s Academy but it, shistory goe isn fact much further back (see e.g an. [3]d [10]), [1] .
Praeger, Cheryl E., Saxl, Jan
openaire   +1 more source

On primitive overgroups of quasiprimitive permutation groups [PDF]

open access: yesJournal of Algebra, 2003
A permutation group is said to be quasiprimitive if all its non-trivial normal subgroups are transitive. We investigate pairs (G,H) of permutation groups of degree n such that G⩽H⩽Sn with G quasiprimitive and H primitive.
Cheryl E Praeger
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Closures of Finite Primitive Permutation Groups

Bulletin of the London Mathematical Society, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Praeger, Cheryl E., Saxl, Jan
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