On the number of cyclic transitive subgroups of a permutation group
Group Theory
2015-02-10 v2
Abstract
We prove an upper bound for the number of cyclic transitive subgroups in a finite permutation group and clarify the structure of the groups for which this bound becomes sharp. We also give an application in the theory of number fields.
Keywords
Cite
@article{arxiv.1501.06324,
title = {On the number of cyclic transitive subgroups of a permutation group},
author = {Joachim König},
journal= {arXiv preprint arXiv:1501.06324},
year = {2015}
}
Comments
8 pages