Closest multiplication tables of groups

DOI10.1016/j.jalgebra.2011.11.026zbMath1246.05031arXiv1509.05660OpenAlexW2963374873MaRDI QIDQ441405

Petr Vojtěchovský, Ian M. Wanless

Publication date: 23 August 2012

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.05660

zbMATH Keywords

rainbow matchinggroup multiplication tableHamming distances of groups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Orthogonal arrays, Latin squares, Room squares (05B15)

Related Items (1)

Latin squares with maximal partial transversals of many lengths

Uses Software

• GAP
• nauty
• LOOPS

Cites Work

• On the distance between non-isomorphic groups.
• Toward the classification of Moufang loops of order 64.
• How far apart can the group multiplication tables be?
• Near 2-groups yield an isomorphism with many fixed points
• On groups that differ in one of four squares.
• Non-isomorphic \(2\)-groups coincide at most in three quarters of their multiplication tables
• The Moufang loops of order 64 and 81.
• Moufang loops that share associator and three quarters of their multiplication tables.
• ON MULTIPLICATION TABLES OF GROUPS THAT AGREE ON HALF OF THE COLUMNS AND HALF OF THE ROWS
• Moufang Loops of Small Order. I
• Computing with small quasigroups and loops
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