Representation of a group as a transitive permutation group
نویسندگان
چکیده
منابع مشابه
On Partitioning the Orbitals of a Transitive Permutation Group
Let G be a permutation group on a set Ω with a transitive normal subgroup M . Then G acts on the set Orbl(M,Ω) of nontrivial M -orbitals in the natural way, and here we are interested in the case where Orbl(M,Ω) has a partition P such that G acts transitively on P. The problem of characterising such tuples (M,G,Ω,P), called TODs, arises naturally in permutation group theory, and also occurs in ...
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By a quasi-permutation matrix we mean a square matrix over the complex field C with non-negative integral trace. Thus every permutation matrix over C is a quasipermutation matrix. For a given finite group G, let p(G) denote the minimal degree of a faithful permutation representation of G (or of a faithful representation of G by permutation matrices), let q(G) denote the minimal degree of a fai...
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Let G be a doubly transitive permutation group on a finite set fi, and let K" be a normal subgroup of the stabilizer Ga of a point a in £2. If the action of Ga on the set of orbits of K" in £2—{a} is 2-primitive with kernel K" it is shown that either G is a normal extension of PSL(3, q) or K" n Gy is a strongly closed subgroup of Gay in Ga, where y e £2—{a}. If in addition the action of Go on t...
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by a quasi-permutation matrix we mean a square matrix over the complex field c with non-negative integral trace. thus every permutation matrix over c is a quasipermutation matrix. for a given finite group g, let p(g) denote the minimal degree of a faithful permutation representation of g (or of a faithful representation of g by permutation matrices), let q(g) denote the minimal degree of a fait...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1931
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1931-05281-2