Primitive permutation groups containing a cycle
Group Theory
2019-02-20 v1 History and Overview
Abstract
The primitive finite permutation groups containing a cycle are classified. Of these, only the alternating and symmetric groups contain a cycle fixing at least three points. The contributions of Jordan and Marggraff to this topic are briefly discussed.
Cite
@article{arxiv.1209.5169,
title = {Primitive permutation groups containing a cycle},
author = {Gareth A. Jones},
journal= {arXiv preprint arXiv:1209.5169},
year = {2019}
}
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6 pages