Results 201 to 210 of about 1,562 (223)

ON PRIMITIVE SHARP PERMUTATION GROUPS

Communications in Algebra, 2002
ABSTRACT A permutation group is sharp if , where . We deduce a restriction for the structure of primitive sharp groups, namely, that their socle is either regular or nonabelian simple.
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Primitive Permutation Groups of Finite Morley Rank

Proceedings of the London Mathematical Society, 1995
A version is given of the O'Nan-Scott Theorem for definably primitive permutation groups of finite Morley rank. This raises questions about structures of the form \((F,+, \cdot, H)\) where \((F, +, \cdot)\) is an algebraically closed field and \(H\) is a predicate for a central extension of a simple group, with \(H \leq \text{GL} (n,F)\). Among partial
Macpherson, Dugald, Pillay, Anand
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Doubly Transitive But not Doubly Primitive Permutation Groups

Journal of the London Mathematical Society, 1974
+ l preserve asblock desig inn which X = I and k = q + l. Anothe irs exampl PSL(«,q), ne > 2,which preserves a block design in which X = 1 and k = q + l. In these cases the blocksare the line os f the corresponding unitary and projective spaces It i eass .y to see thatno grou opf automorphism ofs a block desig in whicn h X = 1 can ac doublt ...
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ON A CONJECTURE ON THE PERMUTATION CHARACTERS OF FINITE PRIMITIVE GROUPS

Bulletin of the Australian Mathematical Society, 2019
Let$G$be a finite group with two primitive permutation representations on the sets$\unicode[STIX]{x1D6FA}_{1}$and$\unicode[STIX]{x1D6FA}_{2}$and let$\unicode[STIX]{x1D70B}_{1}$and$\unicode[STIX]{x1D70B}_{2}$be the corresponding permutation characters. We consider the case in which the set of fixed-point-free elements of$G$on$\unicode[STIX]{x1D6FA}_{1 ...
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Primitive permutation groups containing ap-cycle

Archiv der Mathematik, 1995
We give a complete list of all primitive permutation groups containing a cycle of length \(p\), with \(p\) prime. An application to two-generator groups is given.
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On primitive permutation groups with nontrivial global stabilizers

Proceedings of the Steklov Institute of Mathematics, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Minimal degree, base size, order: selected topics on primitive permutation groups

Archiv Der Mathematik, 2023
Attila Maroti
exaly  

New characterizations of primitive permutation groups with applications to synchronizing automata

Information and Computation, 2023
Stefan Hoffmann
exaly  

Sylow Subgroups of Primitive Permutation Groups

Journal of the London Mathematical Society, 1974
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The Primitive Permutation Groups of Degree Less Than 4096

Communications in Algebra, 2011
Colva Roney-Dougal, Martyn Quick
exaly