# SOME INFINITE PERMUTATION GROUPS AND RELATED FINITE LINEAR GROUPS

@article{Neumann2015SOMEIP, title={SOME INFINITE PERMUTATION GROUPS AND RELATED FINITE LINEAR GROUPS}, author={Peter M. Neumann and Cheryl E. Praeger and Simon M. Smith}, journal={Journal of the Australian Mathematical Society}, year={2015}, volume={102}, pages={136 - 149} }

This article began as a study of the structure of infinite permutation groups $G$ in which point stabilisers are finite and all infinite normal subgroups are transitive. That led to two variations. One is the generalisation in which point stabilisers are merely assumed to satisfy min-n, the minimal condition on normal subgroups. The groups $G$ are then of two kinds. Either they have a maximal finite normal subgroup, modulo which they have either one or two minimal nontrivial normal subgroups…

## 4 Citations

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Permutation groups are a mathematical approach to analysing structures by studying the rearrangements of the elements of the structure that preserve it. Finite permutation groups are primarily…

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