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## Abstract

© 2016 Elsevier Inc. Given a finite group G and a faithful irreducible FG-module V where F has prime order, does G have a regular orbit on V? This problem is equivalent to determining which primitive permutation groups of affine type have a base of size 2. In this paper, we classify the pairs (G, V) for which G has a regular orbit on V where G is a covering group of a symmetric or alternating group and V is a faithful irreducible FG-module such that the order of F is prime and divides the order of G.

Original language | English |
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Pages (from-to) | 21-52 |

Number of pages | 32 |

Journal | Journal of Algebra |

Volume | 458 |

Early online date | 4 Apr 2016 |

DOIs | |

Publication status | Published - 15 Jul 2016 |

## Fingerprint

Dive into the research topics of 'Regular orbits of symmetric and alternating groups'. Together they form a unique fingerprint.## Projects

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