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Primitive permutation groups of degree 3p

Authors :
Neumann, Peter M.
Publication Year :
2022
Publisher :
arXiv, 2022.

Abstract

This paper presents an analysis of primitive permutation groups of degree $3p$, where $p$ is a prime number, analogous to H. Wielandt's treatment of groups of degree $2p$. It is also intended as an example of the systematic use of combinatorial methods as surveyed in \S6 for distilling information about a permutation group from knowledge of the decomposition of its character. The work is organised into three parts. Part I contains the lesser half of the calculation, the determination of the decomposition of the permutation character. Part II contains a survey of the combinatorial methods and, based on these methods, the major part of the calculation. Part III ties up loose ends left earlier in the paper and gives a tabulation of detailed numerical results.<br />Comment: Unpublished paper from 1969. Afterword by Peter J. Cameron explains the context

Details

Database :
OpenAIRE
Accession number :
edsair.doi.dedup.....4a23253becee2b7b0417f299ac9135ae
Full Text :
https://doi.org/10.48550/arxiv.2204.06926