### Abstract

Suppose that all groups of order n are defined on the same set G of cardinality n, and let the distance of two groups of order n be the number of pairs (a,b) is an element of G x G where the two group operations differ. Given a group G(o) of order n, we find all groups of order n, up to isomorphism, that are closest to G(o).

Original language | English |
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Pages (from-to) | 261 - 285 |

Number of pages | 25 |

Journal | Journal of Algebra |

Volume | 353 |

Issue number | 1 |

DOIs | |

Publication status | Published - 2012 |

## Cite this

Vojtechovsky, P., & Wanless, I. M. (2012). Closest multiplication tables of groups.

*Journal of Algebra*,*353*(1), 261 - 285. https://doi.org/10.1016/j.jalgebra.2011.11.026