The Classification of Permutation Groups with Maximum Orbits
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2018, Vol 15, Issue 0
Abstract
Let G be a permutation group on a set with no fixed points in and let m be a positive integer. If no element of G moves any subset of by more than m points (that is, if for every and g 2 G), and the lengths two of orbits is p, and the restof orbits have lengths equal to 3. Then the number t of G-orbits in is at most Moreover, we classifiy all groups for is hold.(For denotes the greatest integer less than or equal to x.)
Authors and Affiliations
Behname Razzaghmaneshi
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- EP ID EP651856
- DOI 10.24297/jam.v15i0.7926
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