Results 221 to 230 of about 55,118 (252)

𝑝-parts of stabilizers in primitive permutation groups

Journal of group theroy
Let ( G , Ω ) (G,\Omega) be a finite primitive permutation group. Let p 2 p^{2} divide | G | \lvert G\rvert , for a prime 𝑝. We show that, when 𝐺 is solvable, there exists a subset of Ω whose stabilizer 𝑆 has the property that 1 < | S | p < | G | p ...
D. Gluck
semanticscholar   +1 more source

SUBORBITS IN INFINITE PRIMITIVE PERMUTATION GROUPS

Bulletin of the London Mathematical Society, 2001
For every infinite cardinal κ, we construct a primitive permutation group which has a finite suborbit paired with a suborbit of size κ. This answers a question of Peter M. Neumann.
openaire   +2 more sources

On Simply Transitive Primitive Permutation Groups

Canadian Journal of Mathematics, 1969
In (1) we considered finite primitive permutation groups G with regular abelian subgroups H satisfying the following hypothesis:(*) H = A × B × C, where A is cyclic of prime power order pα ≠ 4, B has exponent pβ < pα, and C has order prime to p.We remark that an abelian group fails to satisfy (*) (apart from the minor exception associated with the ...
openaire   +2 more sources

Primitive pseudo-finite permutation groups of finite 𝑆𝑈-rank

Transactions of the American Mathematical Society
We study definably primitive pseudo-finite permutation groups of finite S U
Ulla Karhumäki, N. Ramsey
semanticscholar   +1 more source

The Finite Primitive Permutation Groups of Rank Three

Bulletin of the London Mathematical Society, 1986
Let G be a finite primitive permutation group of degree n and rank three. It is readily seen that one of the following holds: (i) \(T\times T\triangleleft G\leq T_ 0 wr Z_ 2\), where \(T_ 0\) is a 2-transitive group of degree \(n_ 0\), the socle T of \(T_ 0\) is simple and \(n=n^ 2_ 0\); (ii) G is an affine group; (iii) the socle L of G is simple.
Liebeck, Martin W., Saxl, Jan
openaire   +1 more source

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.
openaire   +1 more source

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
openaire   +2 more sources

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 ...
openaire   +1 more source

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.
openaire   +2 more sources

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.
openaire   +1 more source