[PDF] Top 20 The double transitivity of a class of permutation groups
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The double transitivity of a class of permutation groups
... The object of this thesis is to show that certain finite abelian groups cannot occur as regular subgroups of uniprimitive (primitive but not doubly transitive) p[r] ... See full document
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PUZZLES WITH POLYHEDRA AND PERMUTATION GROUPS
... equivalence class has the same number associated to the edges that belong to the faces of each ...equivalence class has the same number associated to the edges that belong to the faces of one of the fives ... See full document
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Computing in permutation groups without memory
... certain class of manipulations of ...in permutation groups without memory Let us recall some notation and results from the literature in memoryless ... See full document
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Synchronizing permutation groups and graph endomorphisms
... synchronizing permutation groups and on graph endo- morphisms, motivated by the theorem of Cameron and ...synchronizing permutation groups, it tack- les various questions related to ...by ... See full document
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Computing in permutation groups without memory
... certain class of manipulations of ...in permutation groups without memory Let us recall some notation and results from the literature in memoryless ... See full document
21
Reducts of structures and maximal-closed permutation groups
... tation groups which are closed under taking closed supergroups in the symmetric group and have a good structure ...Jordan permutation groups. An obvious class of structures which is closed ... See full document
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Permutation groups and transformation semigroups : results and problems
... basic groups of all three O’Nan–Scott ...important class of primitive groups, namely the classical symplectic, orthogonal and unitary groups, acting on their associated polar ... See full document
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Primitive permutation groups with a solvable subconstituent of degree 7
... Let σ : x 7→ x 2 be a Frobenius automorphism of E. Then σ belongs to Gal(E/F ) and it cyclicly permutes ε + ε −1 , ε 2 + ε −2 and ε 3 + ε −3 . Hence ψ 2 , ψ 3 and ψ 4 comprise a Galois conjugacy class over the ... See full document
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The primitive permutation groups of degree less than 4096
... primitive permutation groups up to degree 4095, using the framework of the O’Nan–Scott Theorem and with Aschbacher’s theorem and CFSG as important ...O’Nan–Scott class in turn, explaining in detail ... See full document
23
The primitive soluble permutation groups of degree less than 256
... soluble permutation groups of a given ...conjugacy class representatives of the irreducible soluble subgroups of GL{2,p), and of GL{q,p) for certain primes ... See full document
179
Symmetry classes of polynomials associated with the direct product of permutation groups
... (symmetry class of polynomials) with respect to the irreducible characters of certain ...symmetry class of polynomials with respect to the direct product of permutation ... See full document
7
MULTIPLICITY-FREE PERMUTATION CHARACTERS OF COVERING GROUPS OF SPORADIC SIMPLE GROUPS
... candidate permutation representation of a simple group G with point stabilizer H and consider how it might extend to a faithful representation of ...the permutation representation extends, then the point ... See full document
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Splicing systems over permutation groups of length two
... of double-stranded DNA (dsDNA) and the enzymes which perform operation of cutting and pasting on ...permutation groups. In this paper, we define splicing systems over permutation groups ... See full document
6
Automorphism groups of metacyclic groups of class two
... In Riemannian geometry, an automorphism is a self-isometry which is called the isometry group. An automorphism of a set X is an arbitrary permutation of the elements of X . It is also called the symmetric group on ... See full document
17
Suborbital graphs of the groups Cn ,Dn and UP and graphs whose automorphism groups contain the permutation groups Cn and Dn
... whose groups of automorphism contain the cyclic group and the dihedral group ...two groups it has been shown that the number, , of the connected components of the suborbital graph is and its girth is when , ... See full document
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The use of permutation representations in structural computations in large finite matrix groups
... Unlike any of the methods described above, the chosen base may contain subspaces β i of dimension greater than 1. So it is sometimes necessary to make a choice between higher dimensional β i and longer basic orbit ... See full document
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Permutation Groups and the
... End of the proof This procedure can be used for any pair of cycles of the same length. And since the permutation K has an even number of cycles of any given length, we may define in this way the permutations X and ... See full document
175
Graphs of Permutation Groups
... 1. INTRODUCTION The study of group theoretic graphs using the properties of graphs and groups has become incredible research topic in the recent years, and exiting to many fascinating results and questions. Graphs ... See full document
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ON THE SIMPLICITY OF PERMUTATION GROUPS
... of groups in numerous areas within and outside mathematics makes them a central organizing principle of contemporary mathematics, Herstein ...Simple groups have been studied at least since early Galis ... See full document
10
Chapter 7. Permutation Groups
... Permutation Groups “.” () We started the study of groups by considering planar ...finite groups of planar isometries can only be cyclic or dihedral ...the groups we have seen so far ... See full document
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