## Abstract

With the aid of the computer algebra system GAP (together with the extension package COCO-II) all S-rings over the smallest non-abelian simple group A_{5} of order 60 are enumerated. It turns out that there are 2848 S-rings over A_{5}, in 163 orbits under the action of S_{5}. Among them there are 505 non-Schurian S-rings, in 19 orbits. We discuss the entire picture of this rich computer data and try to present an initial outline of a human explanation for most of the results obtained.

Original language | English |
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Title of host publication | Computer Algebra in Scientific Computing - 15th International Workshop, CASC 2013, Proceedings |

Pages | 219-230 |

Number of pages | 12 |

DOIs | |

State | Published - 10 Oct 2013 |

Event | 15th International Workshop on Computer Algebra in Scientific Computing, CASC 2013 - Berlin, Germany Duration: 9 Sep 2013 → 13 Sep 2013 |

### Publication series

Name | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
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Volume | 8136 LNCS |

ISSN (Print) | 0302-9743 |

ISSN (Electronic) | 1611-3349 |

### Conference

Conference | 15th International Workshop on Computer Algebra in Scientific Computing, CASC 2013 |
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Country/Territory | Germany |

City | Berlin |

Period | 9/09/13 → 13/09/13 |

## ASJC Scopus subject areas

- Theoretical Computer Science
- Computer Science (all)

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