Add to ORKGIn this paper we introduced what is meant by a permutation on a given set and showed how they form a group. We discussed the cycle notation of permutation and how it is useful in determining various properties of permutation groups. In fact it is shown that a permutation can be decomposed into disjoint cycles uniquely and that order of the permutation is the l.c.m of the lengths of the cycle in a decomposition of disjoint cycles
With any permutation g of a set Ω is associated a partition of Ω into the cycles of g. What informat...
We survey the known results about simple permutations. In particular, we present a number of recent ...
The primitive finite permutation groups containing a cycle are classified. Of these, only the altern...
AbstractAlthough many results concerning permutations and permutation groups are known, less attenti...
The cycle polynomial of a finite permutation group G is the generating function for the number of el...
As an analogue of linear group representations, where groups act on vector spaces by linear transfor...
AbstractWith any permutation g of a set Ω is associated a partition of Ω into the cycles of g. What ...
This thesis aims to discuss permutation groups in general. It starts at a relatively elementary leve...
After introducing permutation notation and defining group, the author discusses the simpler properti...
This paper has been published in Annali di Matematica Pura ed Applicata. Series IV, 189(4):567-570 ...
AbstractA new and useful operation on permutation groups is defined and studied. A formula for the c...
AbstractThere are many analogies between subsets and permutations of a set, and in particular betwee...
With any permutation g of a set Ω is associated a partition of Ω into the cycles of g. What informat...
AbstractOut of the classical theory of Riemann surfaces, we extract the following combinatorial theo...
In [2] Ree proved a theorem about permutation groups by making use of a formula for the genus of Rie...
With any permutation g of a set Ω is associated a partition of Ω into the cycles of g. What informat...
We survey the known results about simple permutations. In particular, we present a number of recent ...
The primitive finite permutation groups containing a cycle are classified. Of these, only the altern...
AbstractAlthough many results concerning permutations and permutation groups are known, less attenti...
The cycle polynomial of a finite permutation group G is the generating function for the number of el...
As an analogue of linear group representations, where groups act on vector spaces by linear transfor...
AbstractWith any permutation g of a set Ω is associated a partition of Ω into the cycles of g. What ...
This thesis aims to discuss permutation groups in general. It starts at a relatively elementary leve...
After introducing permutation notation and defining group, the author discusses the simpler properti...
This paper has been published in Annali di Matematica Pura ed Applicata. Series IV, 189(4):567-570 ...
AbstractA new and useful operation on permutation groups is defined and studied. A formula for the c...
AbstractThere are many analogies between subsets and permutations of a set, and in particular betwee...
With any permutation g of a set Ω is associated a partition of Ω into the cycles of g. What informat...
AbstractOut of the classical theory of Riemann surfaces, we extract the following combinatorial theo...
In [2] Ree proved a theorem about permutation groups by making use of a formula for the genus of Rie...
With any permutation g of a set Ω is associated a partition of Ω into the cycles of g. What informat...
We survey the known results about simple permutations. In particular, we present a number of recent ...
The primitive finite permutation groups containing a cycle are classified. Of these, only the altern...