GAP package loops. The LOOPS package provides researchers in nonassociative algebra with a computational tool that integrates standard notions of loop theory with libraries of loops and group-theoretical algorithms of GAP. The package also expands GAP toward nonassociative structures.

References in zbMATH (referenced in 24 articles )

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  1. Hulpke, Alexander; Stanovský, David; Vojtěchovský, Petr: Connected quandles and transitive groups (2016)
  2. Kinyon, Michael K.; Kunen, Kenneth; Phillips, J.D.; Vojtěchovský, Petr: The structure of automorphic loops (2016)
  3. Nagy, Gábor P.: Doubly transitive sets of even permutations (2016)
  4. Kinyon, Michael; Wanless, Ian M.: Loops with exponent three in all isotopes. (2015)
  5. Pasotti, Stefano; Zizioli, Elena: Loops, regular permutation sets and colourings of directed graphs. (2015)
  6. Drápal, Aleš; Griggs, Terry S.; Kozlik, Andrew R.: Triple systems and binary operations (2014)
  7. Niebrzydowski, Maciej: On some ternary operations in knot theory (2014)
  8. Pasotti, Stefano; Zizioli, Elena: Slid product of loops: a generalization. (2014)
  9. Stanovský, David; Vojtěchovský, Petr: Commutator theory for loops. (2014)
  10. Stanovský, David; Vojtěchovský, Petr: Abelian extensions and solvable loops. (2014)
  11. Stones, Douglas S.: Symmetries of partial Latin squares (2013)
  12. Jedlička, Přemysl; Kinyon, Michael; Vojtěchovský, Petr: Nilpotency in automorphic loops of prime power order. (2012)
  13. Kirshtein, Jenya: Automorphism groups of Cayley-Dickson loops. (2012)
  14. Stones, Douglas S.; Vojtěchovský, Petr; Wanless, Ian M.: Cycle structure of autotopisms of quasigroups and Latin squares (2012)
  15. Vojtěchovský, Petr; Wanless, Ian M.: Closest multiplication tables of groups (2012)
  16. Johnson, Kenneth W.; Kinyon, Michael K.; Nagy, Gábor P.; Vojtěchovský, Petr: Searching for small simple automorphic loops. (2011)
  17. Shah, Muhammad; Gretton, Charles; Sorge, Volker: Enumerating AG-groups with a study of Smaradache AG-groups. (2011)
  18. Niemenmaa, Markku; Rytty, Miikka: On finite loops with nilpotent inner mapping groups. (2010)
  19. Stones, Douglas S.: The many formulae for the number of Latin rectangles (2010)
  20. Daly, Daniel; Vojtěchovský, Petr: Enumeration of nilpotent loops via cohomology. (2009)

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