Results 1  10
of
209,670
Oligomorphic permutation groups
 LONDON MATHEMATICAL SOCIETY STUDENT TEXTS
, 1999
"... A permutation group G (acting on a set Ω, usually infinite) is said to be oligomorphic if G has only finitely many orbits on Ω n (the set of ntuples of elements of Ω). Such groups have traditionally been linked with model theory and combinatorial enumeration; more recently their grouptheoretic pro ..."
Abstract

Cited by 312 (26 self)
 Add to MetaCart
A permutation group G (acting on a set Ω, usually infinite) is said to be oligomorphic if G has only finitely many orbits on Ω n (the set of ntuples of elements of Ω). Such groups have traditionally been linked with model theory and combinatorial enumeration; more recently their group
Permutation Groups
, 2009
"... The theory of permutation groups is essentially the theory of symmetry for mathematical and physical systems. It therefore has major impact in diverse areas of mathematics. Twentiethcentury permutation group theory focused on the theory of finite primitive permutation groups, and this theory contin ..."
Abstract
 Add to MetaCart
The theory of permutation groups is essentially the theory of symmetry for mathematical and physical systems. It therefore has major impact in diverse areas of mathematics. Twentiethcentury permutation group theory focused on the theory of finite primitive permutation groups, and this theory
Factorizations of Primitive Permutation Groups
 J. Algebra
, 1997
"... this paper we attack the following problem in the theory of permutation groups Classify all finite primitive permutation groups (G; \Omega\Gamma which admit a factorization G = G ! G ..."
Abstract

Cited by 8 (1 self)
 Add to MetaCart
this paper we attack the following problem in the theory of permutation groups Classify all finite primitive permutation groups (G; \Omega\Gamma which admit a factorization G = G ! G
Topology in Permutation Groups
 in Groups: Topological, Combinatorial and Arithmetic Aspects
, 2004
"... This paper is a survey of some topological aspects of permutation groups, especially concerning the question: \What does it tell us about a permutation group if it is a group of homeomorphisms of a topology?" This topic is not unrelated to a natural topology on the symmetric group, that of ..."
Abstract

Cited by 1 (1 self)
 Add to MetaCart
This paper is a survey of some topological aspects of permutation groups, especially concerning the question: \What does it tell us about a permutation group if it is a group of homeomorphisms of a topology?" This topic is not unrelated to a natural topology on the symmetric group
Reflective Permutation Groups
, 1997
"... this paper is in the relationships between model theory and the theory of infinite permutation groups, in particular between a countably infinite relational stucture M with ..."
Abstract
 Add to MetaCart
this paper is in the relationships between model theory and the theory of infinite permutation groups, in particular between a countably infinite relational stucture M with
On Solvable Semiprimitive Permutation Groups
, 2006
"... We study permutation groups in which all normal subgroups are transitive or semiregular. The motivation for such investigations comes from universal algebra. This paper focuses on solvable groups. 1 ..."
Abstract
 Add to MetaCart
We study permutation groups in which all normal subgroups are transitive or semiregular. The motivation for such investigations comes from universal algebra. This paper focuses on solvable groups. 1
Distinguishing Primitive Permutation Groups
, 2008
"... Let G be a permutation group acting on a set V. A partition π of V is distinguishing if the only element of G that fixes each cell of π is the identity. The distinguishing number of G is the minimum number of cells in a distinguishing partition. We prove that if G is a primitive permutation group an ..."
Abstract
 Add to MetaCart
Let G be a permutation group acting on a set V. A partition π of V is distinguishing if the only element of G that fixes each cell of π is the identity. The distinguishing number of G is the minimum number of cells in a distinguishing partition. We prove that if G is a primitive permutation group
Aspects of infinite permutation groups
"... Until 1980, there was no such subgroup as ‘infinite permutation groups’, according to the Mathematics Subject Classification: permutation groups were assumed to be finite. There were a few papers, for example [10, 62], and a set of lecture notes by Wielandt [72], from the 1950s. Now, however, there ..."
Abstract

Cited by 3 (0 self)
 Add to MetaCart
Until 1980, there was no such subgroup as ‘infinite permutation groups’, according to the Mathematics Subject Classification: permutation groups were assumed to be finite. There were a few papers, for example [10, 62], and a set of lecture notes by Wielandt [72], from the 1950s. Now, however
Algebraic quantum permutation groups
 Goswami, D.: Quantum Group of isometries in Classical and Non Commutative Geometry
"... Abstract. We discuss some algebraic aspects of quantum permutation groups, working over arbitrary fields. If K is any characteristic zero field, we show that there exists a universal cosemisimple Hopf algebra coacting on the diagonal algebra K n: this is a refinement of Wang’s universality theorem f ..."
Abstract

Cited by 15 (2 self)
 Add to MetaCart
Abstract. We discuss some algebraic aspects of quantum permutation groups, working over arbitrary fields. If K is any characteristic zero field, we show that there exists a universal cosemisimple Hopf algebra coacting on the diagonal algebra K n: this is a refinement of Wang’s universality theorem
Representing quotients of permutation groups
 Quart. J. Math. (Oxford
, 1997
"... IN this note, we consider the following problem. Let G be a finite permutation group of degree d, and let Nbea normal subgroup of G. Under what circumstances does G/N have a faithful permutation representation of degree at most di ..."
Abstract

Cited by 4 (1 self)
 Add to MetaCart
IN this note, we consider the following problem. Let G be a finite permutation group of degree d, and let Nbea normal subgroup of G. Under what circumstances does G/N have a faithful permutation representation of degree at most di
Results 1  10
of
209,670