LOOPS

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 36 articles , 1 standard article )

Showing results 1 to 20 of 36.
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  1. Ahmadidelir, Karim: On the non-commuting graph in finite Moufang loops (2018)
  2. Ellis, Graham; Fragnaud, Cédric: Computing with knot quandles (2018)
  3. Jaiyéọlá, T. G.; Adeniregun, A. A.; Asiru, M. A.: Finite FRUTE loops (2017)
  4. Jedlička, Přemysl; Stanovský, David; Vojtěchovský, Petr: Distributive and trimedial quasigroups of order 243 (2017)
  5. Kinyon, Michael K.; Nagy, Gábor P.; Vojtěchovský, Petr: Bol loops and Bruck loops of order (pq) (2017)
  6. Hulpke, Alexander; Stanovský, David; Vojtěchovský, Petr: Connected quandles and transitive groups (2016)
  7. Kinyon, Michael K.; Kunen, Kenneth; Phillips, J. D.; Vojtěchovský, Petr: The structure of automorphic loops (2016)
  8. Nagy, Gábor P.: Doubly transitive sets of even permutations (2016)
  9. Kinyon, Michael; Wanless, Ian M.: Loops with exponent three in all isotopes. (2015)
  10. Pasotti, Stefano; Zizioli, Elena: Loops, regular permutation sets and colourings of directed graphs. (2015)
  11. Drápal, Aleš; Griggs, Terry S.; Kozlik, Andrew R.: Triple systems and binary operations (2014)
  12. Krotov, Denis S.: A partition of the hypercube into maximally nonparallel Hamming codes (2014)
  13. Niebrzydowski, Maciej: On some ternary operations in knot theory (2014)
  14. Pasotti, Stefano; Zizioli, Elena: Slid product of loops: a generalization. (2014)
  15. Stanovský, David; Vojtěchovský, Petr: Commutator theory for loops. (2014)
  16. Stanovský, David; Vojtěchovský, Petr: Abelian extensions and solvable loops. (2014)
  17. Kinyon, Michael; Veroff, Robert; Vojtěchovský, Petr: Loops with abelian inner mapping groups: an application of automated deduction (2013)
  18. Stones, Douglas S.: Symmetries of partial Latin squares (2013)
  19. Chein, Orin; Goodaire, Edgar G.; Kinyon, Michael: When is a Bol loop Moufang? (2012)
  20. Jedlička, Přemysl; Kinyon, Michael; Vojtěchovský, Petr: Nilpotency in automorphic loops of prime power order. (2012)

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