AbstractLet A be a transitive subgroup of Sn. We show that the largest cyclic quotient of A has order at most n. This can be interpreted as an equivalent result about extensions of constants in the Galois closure of a covering of curves over a finite field. We also prove that the point stabilizer in a finite primitive permutation group always has a faithful orbit
If k and l are positive integers with k⩽l, then the free group of countable rank has a faithful perm...
AbstractThe Hasse Weil bound restricts the number of points of a curve which are defined over a fini...
AbstractWe prove that a transitive group of odd prime-power degree such that every minimal transitiv...
AbstractLet A be a transitive subgroup of Sn. We show that the largest cyclic quotient of A has orde...
In 1990 Hendrik W. Lenstra, Jr. asked the following question: if G is a transitive permutation group...
In 1990 Hendrik W. Lenstra, Jr. asked the following question: if G is a transitive permutation group...
In 1990 Hendrik W. Lenstra, Jr. asked the following question: if G is a transitive permutation group...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/135601/1/plms0052.pd
AbstractIn this paper, we study the structure of finite permutation groups with a transitive cyclic ...
AbstractWe prove that the number of conjugacy classes of primitive permutation groups of degreenis a...
AbstractWe give a short proof of the fact, known to Jordan (J. Math. (5) 1 (1895), 35–60), that any ...
AbstractExtending ideas of L. Babai we give an nclog2n bound for the orders of 2-transitive groups o...
Let G be a transitive permutation group on a set Ω such that, for ω∈Ω, the stabiliser Gω induces on ...
Let Ω be a finite set of size n. A cyclic permutation on Ω is a permutation whose cycle decompositi...
AbstractWe introduce a family of vertex-transitive graphs with specified subgroups of automorphisms ...
If k and l are positive integers with k⩽l, then the free group of countable rank has a faithful perm...
AbstractThe Hasse Weil bound restricts the number of points of a curve which are defined over a fini...
AbstractWe prove that a transitive group of odd prime-power degree such that every minimal transitiv...
AbstractLet A be a transitive subgroup of Sn. We show that the largest cyclic quotient of A has orde...
In 1990 Hendrik W. Lenstra, Jr. asked the following question: if G is a transitive permutation group...
In 1990 Hendrik W. Lenstra, Jr. asked the following question: if G is a transitive permutation group...
In 1990 Hendrik W. Lenstra, Jr. asked the following question: if G is a transitive permutation group...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/135601/1/plms0052.pd
AbstractIn this paper, we study the structure of finite permutation groups with a transitive cyclic ...
AbstractWe prove that the number of conjugacy classes of primitive permutation groups of degreenis a...
AbstractWe give a short proof of the fact, known to Jordan (J. Math. (5) 1 (1895), 35–60), that any ...
AbstractExtending ideas of L. Babai we give an nclog2n bound for the orders of 2-transitive groups o...
Let G be a transitive permutation group on a set Ω such that, for ω∈Ω, the stabiliser Gω induces on ...
Let Ω be a finite set of size n. A cyclic permutation on Ω is a permutation whose cycle decompositi...
AbstractWe introduce a family of vertex-transitive graphs with specified subgroups of automorphisms ...
If k and l are positive integers with k⩽l, then the free group of countable rank has a faithful perm...
AbstractThe Hasse Weil bound restricts the number of points of a curve which are defined over a fini...
AbstractWe prove that a transitive group of odd prime-power degree such that every minimal transitiv...
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